Question

the means of a proportion are 21 and 33. List all possible pairs of positive integers that could be the extremes of the true proportion

Answer 1

x/21 = y/33

xy = 21·33 = 693

The factors of 693 are 1,3,7,9,11,21,33,63,77,99,231,693.

(x,y) = (1,693), (693,1), (3,231), (231,3), (7,99), (99,7), (9,77), (77,9), (11,63), (63,11), (21,33), (33,21)