Question

what is the mean proportional of 27 and 48

Answer 1

mean proportional of two numbers "a" and "b"

x / a = b / x




here , a = 27 , b = 48





so now ,




x / 27 = 48 / x



by cross multiplication ,we get



x^2 = 27 × 48



x^2 = 1296


x = √1296


x = 36


hence , the mean proportional of 27 and 48 is 36.


【 hope it helps 】

Answer 2

Given : Two numbers 27 & 48

To Find : mean proportional of 27 and 48

Solution:

Mean proportion of a & b  is √ab

a = 27

b = 48

Mean proportion  = √(27 * 48)

=> Mean proportion  = √(3*3*3 * 3*4*4)

=> Mean proportion  = √(3²*3²*4²)

=> Mean proportion  = √(3*3*4)²

=> Mean proportion  = (3*3*4)

=> Mean proportion  = 36

mean proportional of 27 and 48  = 36

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