From my experience, Jon Logan is hitting the mark. Without getting into the technicalities, which I don't feel qualified to parse, I would suggest that each type of amplifier is designed to be more convenient for the end user in its intended environment at certain price points. Things like typical connectors and controls will be different for differing environments. Some features in a sound reenforcement environment would be absolutely unnecessary in a home environment and vice versa.
There are other design differences, to be sure, and there are very good reasons to understand what they are before repurposing equipment that was specifically designed to perform at an optimum level under certain conditions. For instance, power requirements for large "pro" amplifiers can exceed the safe capacity of a home electrical circuit, especially older homes. Now, I realize that there are also some "home" amplifiers that require dedicated circuits as well, but I think the point is valid. Often, pro amps are designed to be controlled by a separate mixing board or some such device. Many home amplifiers are integrated with a preamp and/or a tuner for convenience, cost savings, space and asthetics. Again, there is no hard and fast boundary here, either.
I don't know how familiar you are with audio gear. If you are just getting into it, do yourself a favor and go to a Best Buy and look around at their audio offerings. Then, go into a Guitar Center's sound room and look around. Look at the different cables and interconnects, etc. If you are lucky enough to have a good hifi store, then go in there and you will see where the line blurs.