Question

prove that 6 is a mean proportion between 4 and 9

Answer 1

we know that ,
according to mean proportion,
4/6=6/9
therefore ,4×9=6×6......cross multiplcation
36=36
therefore,LHS=RHS
hence it is proved that,6 is a mean proportion of 4 and 9



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Answer 2

Solution :

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Mean Proportional :

If 'x' is a mean proportion of a

and b . Then

a : x = x : b

=> x² = ab

=> x = √ab

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Here ,

a = 4 , b = 9

Therefore ,

mean Proportional (x) = √4×9

= √36

= √6²

= 6

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