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Try the Tech Library at qtcgears.com. Go down to page 384 "Gear Trains", then go to the next page in that series. Figure 13.3 shows a three-gear train, and the formula for speed ratios. You will see that the idler gear (the one in the middle) does not figure in the speed ratio formula. Also, note that torque ratio is the inverse of speed ratio - if the speed ratio is 3:1, the torque ratio would be 1:3, and so forth.
This library of gear information tells you more than you will ever need to know about gears.
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Leo M.
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