Question

Find two numbers such that their mean proportional is 12

Answer 1

√ab=12

So , ab=144

a,b = 4,36

So ,for instance 4,36 has a mean proportional 12 .

You can find many more......

3,48 are also numbers which have mean proprtional 12

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Answer 2

Let those no. be x and y

x : 12 :: 12 : y

PRODUCT OF MEANS = PRODUCT OF EXTREMES

12 × 12 = xy
144 = xy


NOW YOU CAN SUPPOSE x and y to be any 2 no. whose product is 144.

Example - 2 × 74
= 3 × 48
= 4 × 36
= 9 × 16............ etc.

Then no. will be 2 & 74, 3 & 48, 4&36 , 9 & 16


THEN RATIOS WILL BE
2:12 :: 12 : 74
3:12 :: 12 : 48
4:12 :: 12: 36
9:12 :: 12:16


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