They are different knives really.
I do own a Patrol Machete, and it is indeed a mid-sized machete, 14" blade. Not a big heavy one either (I have a big overly heavy, poorly ground 22" Ontario machete that qualifies as very heavy, which isn't good for carrying but is decent for chopping on wood only because of the mass, not because of the poor blade grind, less so for brush. I need to reprofile it on a belt sander.)
Livesay's site is temporarily down due to "excessive bandwidth comsumption" on Tripod

, so I couldn't find the specs, but the pics make the RTAK look to be about 10" blade length.
6" is a big difference, and to me, these knives are pretty different.
One is a machete designed for light-to-mid chopping, clearing of brush, general bushwacking. The other is a big camp knife designed for big knife utility chores.
Either looks to be a good value. (I have medium sized hands, so I'll take the preceding comments as making the RTAK pretty big for my hands also).
I.e., you wouldn't use a PM to slice up veggies or meat normally, or shave kindling (fat point, recurved blade, pretty darned long for such tasks).
I also wouldn't ordinarily use the RTAK for hacking through weeds or brush, it isn't really long enough to be optimally effective at such tasks, nor is it recurved.
I think you can make your decision based on intended use, not on quality or price.
A better comparison would be between the RTAK and the Becker Brute. Again, either looks to be well designed and a good value, but proof is in the goods-in-hand to evaluate the grind, balance, handle, performance.
~~~~~~~
Here's a thread that says the Livesay (not Ontario) RTAK is between 10" and 10-3/4" depending on how you measure:
http://www.bladeforums.com/forums/showthread.php?threadid=89643&highlight=ontario+RTAK