Question

find the two numbers whose mean proportion is 12 and the third proportion is 324

Answer 1

Let the number be a and b

∴
√ab = 12

=>ab = 12^2 = 144............(i)

Again,
a/b = b/324


=>b^2=324a=324∗144/b ...... ( a=144/b) ......From (i)

=>b^3=324∗144

=>b =36

∴ab=144

=>a=144/b = 144/36 =4



∴a = 4 and b = 36


hope it helps

Answer 2

Answer:

4 and 36 is answer.......