The ratios is an interesting thing: First of all, the only American tank designed to actually go into tank vs tank combat was the Pershing, because the doctrine, thanks to an idiot general in the US, was that Tank Destroyer battalions should do the combat with the tanks, while tanks should only support infantry. The M4 with a 76mm gun was an emergency solution, and the gun was just roughly comparable to the 75mm on the Panzer IV, that is, not at all comparable to the short 88 on the Tiger, or the long 75 on the Panther. (As an aside: many people mix the KWK 36 L/56 together with the KWK/PAK 43 L/71 in terms of fearsome, but they used completely different ammunition. The KWK 42 L/70, that is the Panthers long 75 was actually a better anti-tank gun than the short 88)
In terms of ratios, the only hard ones I've seen are in regards to the Tiger.
US estimated that to deal with a Tiger, they'd need 6 Sherman with 75mm guns, and they'd lose 5
Russia estimated that to deal with a Tiger, they'd need 5 T-34, and they'd lose 4
UK, with their Firefly augmented tank troops, estimated that they'd need a troop of 5, and they'd lose 3 ordinary Shermans while the Firefly got into a position to kill the Tiger, and that's because the Firefly had a gun almost comparable to the KWK 43 L/71.
In terms of impact, yes the T-34 had an impact on following tanks in the war, but the Panther had a much larger impact on everything that came later, including the Centurion and the Leopard 1, and even carrying on to modern designs.