Power steering or transmission issue

Power steering wasn't working (very difficult to turn the wheel, comes back to straight easily). The power steering reservoir was empty so I filled it with the recommended fluid (an automatic transmission fluid). After filling I noticed a leak under the engine and the power steering issue has not been resolved(still very difficult to turn, some leaking continuing). Is this just a steering issue or could my transmission be involved also?

My car has 168000 miles.
My car has an automatic transmission.

Experienced mechanics share their insights in answering this question :
There are a few different places that can cause a power steering leak. The fluid can leak from a power steering pump, the fluid lines, a steering rack, or even a power steering cooler. What you need to understand is, the system is designed to be a closed system. Meaning, outside air should not be able to get into the system. When a seal, gasket, or connection fails, it will allow fluid (which can resemble transmission fluid) to leak from the component and allow air to enter. When air is able to enter, it will mix with the fluid and the pump will cause the fluid to aerate. Aerated fluid will compromise the systems ability to provide the assistance required. It can also cause the system to make noise. It sounds to me like you simply have a leak and the air being introduced is causing the power steering to operate at a reduced efficiency. If you need help identifying and/or repairing the situation, contact a certified mechanic, like those available at YourMechanic.com.

How to Identify and Fix Common car Problems ?

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Your transmission does not have anything to do with the power steering system. Either of the two would not have any cause or effect on the other.
Dodge Grand Caravan Common Problems

A common problem customers experience with their Dodge Grand Caravan is delayed transmission engagement and hard shifting when driving.

The power steering system in a vehicle uses engine power to help reduce the amount of effort needed to turn the front wheels of a vehicle.
A steering box check involves raising the front of the car but keeping its weight on the wheels, and getting underneath it while a helper turns the wheels a short way. The safest way of doing this is to drive on to a set of ramps — unless you can get access to a proper inspection pit.
noise when steering: grinding or thumping noises can be caused by a faulty steering gear. this is usually the result of worn components with too much room between them. binding sensation: worn or damaged components within the steering gear can cause it to bind.
If you are having a hard time turning the steering wheel, something is likely wrong with the power steering system. Low power steering fluid in the reservoir might diminish the power assist and is a sign of a leak. A faulty power steering pump or a worn (or broken) serpentine belt could also be the culprit.
2010-2013 Dodge RAM 1500 (5.7-liter V8)

Drivetrain, transmission, suspension, and electrical problems have also been reported as giving owners issues as the years go by. Another big complaint here is most consumers would say the power to MPG ratio is very poor.

What Went Wrong with the Transmissions in the Dodge Ram Trucks? The transmissions that are related to common complaints and recalls for Dodge Ram trucks are five and six-speed automatic transmissions. These were found in the 2009 Dodge Ram and 2010 through 2017 Ram models 1500, 2500, 3500, 4500, and 5500.
The pump is a hydraulic pump and the gear box contains gears which connect the input and output shafts and are designed to allow hydraulic assistance to ease turning of input shaft.
The belt that drives a power-steering hydraulic-fluid pump is usually at the front of the engine , turned by a pulley on the crankshaft . It is generally separate from the belt that drives the water pump and alternator , but it may drive other components as well as the power-steering pump .
The pump is a hydraulic pump and the gear box contains gears which connect the input and output shafts and are designed to allow hydraulic assistance to ease turning of input shaft.
For most vehicles, the power steering system will last well over 100,000 miles before any failures occur.
While turning a corner, if your steering feels slow to respond to the steering wheel inputs you are making, chances are your power steering pump is failing, especially if accompanied by a whining noise. The steering wheel may also feel stiff when turning — another indication of a power steering pump failure.

Relevant Questions and Answers :

the most relevant questions and answers related to your specific issue

Very loud pop when turning sharp left leaking transmission or power steering fluid where steering column meet rack
ANSWER : Hi there. If everything else has already been installed from the donor vehicle then it sounds like the high pressure hose is all that you need to install. The hardest part of doing this is the routing. One thing you may also want to double check is that the donor vehicle and your 2003 Escape have the same rack. There are different models depending on the model and the size of your wheels. You need to install the pressure line first, but if it does not line up then you may have the wrong rack installed. If you would like some assistance installing this hose, consider YourMechanic, as a certified mechanic can come to you to [replace your high pressure steering hose] https://www.yourmechanic.com/services/power-steering-pressure-hose-replacement

Power steering or transmission issue
ANSWER : There are a few different places that can cause a power steering leak. The fluid can leak from a power steering pump, the fluid lines, a steering rack, or even a power steering cooler. What you need to understand is, the system is designed to be a closed system. Meaning, outside air should not be able to get into the system. When a seal, gasket, or connection fails, it will allow fluid (which can resemble transmission fluid) to leak from the component and allow air to enter. When air is able to enter, it will mix with the fluid and the pump will cause the fluid to aerate. Aerated fluid will compromise the systems ability to provide the assistance required. It can also cause the system to make noise. It sounds to me like you simply have a leak and the air being introduced is causing the power steering to operate at a reduced efficiency. If you need help identifying and/or repairing the situation, contact a certified mechanic, like those available at YourMechanic.com.

power steering fluid is leaking
ANSWER : With a power steering fluid leak that big, you certainly should have the vehicle inspected as soon as possible to find the exact cause. Any of the components you listed can be the source of the leak. The power steering pump as well as the rack & pinion steering unit rely on the fluid for lubrication as well as cooling. The whining you hear is from the pump when the fluid runs low or empty. Your issue can be caused by something as simple as a fluid hose right now, but continued ’running dry" of the power steering fluid, can result in damage to both the pump and the rack & pinion unit. If that happens, you can take what may be a repair of a few hundred dollars and turn it into a repair of a couple of thousand dollars.

Major Leak of power steering fluid
ANSWER : Hello…it sounds like you have a loose or faulty hose connection. Of course, it is also possible that a coincidental leak developed, for instance in a rusted steel tube on the return side, at the same time that you were doing this repair. A YourMechanic specialist could diagnosis this for you and assist you with the repair of your power steering and inspect your vehicle for leaks.

had power steering pump replaced but power steering fluid is leaking
ANSWER : This suggests that you may have a leak somewhere else in your power steering system such as one of the hoses or the rack and pinion system. As you may know, the power steering system is a highly pressurized system that can have as much as 300+psi of pressure in the system at times, so it is not uncommon for these types of leaks to happen. If you’d like to get this fixed, I would recommend having an expert from YourMechanic come to your location to diagnose the leak in your power steering system and make the the necessary repairs to fix it.

I had a warning message in my 2013 Ford Fusion that the power steering assist failed. I have power steering capability now. Is it safe to drive?
ANSWER : Some 2013 Ford Fusion models are part of a safety recall involving loss of steering assist. Contact your dealer with the Vehicle Identification Number (VIN) or check your VIN number on safercar.gov to verify if this recall applies to your vehicle. Loss of steering assist can be dangerous if you are caught off guard. It would be best to not drive the vehicle. Contact your dealer to have it towed to their location.

Power steering went out completely
ANSWER : Hi there. You might have a blown high pressure hose from the pump to the steering rack. The fluid is getting onto the exhaust system and may pose a fire hazard. I recommend you do not drive the vehicle, for safety reasons, until you have the leak fixed. I recommend you have a mechanic, like one from YourMechanic, inspect your power steering system’s leak to make sure what the cause of the failure is.

Power steering pump on 2012 Acura TL needs to be replaced. Due to location a power bar also needs to be replaced. Cost over $3,000. Is this a good price?
ANSWER : Question sent to CS for a quote on replacing the power steering motor, programming, and replacing an electrical component attached to the motor. This is in comparison to a quote that was given for the parts and labor.