>>12518240With two weights, the comparison tells us whether the ratio is less than 1, equal to 1, or greater than 1.
With three weights, you can do a bit more. Assuming that none of the weights are equal, call the heaviest weight A, the middle weight B, and the lightest C. We can obtain additional information by weighing B and C together against A. If B + C < A, then A / C > 2. If B + C > A, then A / B < 2.