Just wondering first off if a 7870 will run on a 3,1 Mac Pro, and how much faster would it be than a 5870? I gave my son my old Mac Pro after buying a new 12 core 3.06 machine.
The 7870 will probably run on 10.8.3 and we won't know for sure until it is officially released. Anandtech Bench has a nice comparison between the 7870 and 5870 based on their tests. The 7870 is superior in every category and costs around $220 to $250 currently, not $350 as it was first introduced a year ago.