Question

2) If (28 - x) is the mean proportional of (23 - x) and (19 - x) then find the value of x
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Answer 1

Answer:

Mean proportional of two numbers, a and b is  

ab

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Given, mean proportional of (28−x) and (19−x) is (23−x)

(28−x)×(19−x)

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=(23−x)

Squaring both sides,

(28−x)×(19−x)=(23−x)  

2

 

532−28x−19x+x  

2

=529+x  

2

−46x

532−47x=529−46x

532−529=−46x+47x

x=3