Question

The mean proportional of the no. is 6 and their third proportional is 1296. the numbers will be ??

No spamming

Answer 1

Hey... Mate here's ur answer !!

Let the required numbers are x and y.

their mean proportional is 6.

➡ x: 6 : : 6 : y

➡ x × y = 6 × 6 = 36................. ( 1 )


and their third proportional is 1296

➡ x : y : : y : 1296

➡ y² / x ² = 1296 = 36².......................( 2 )




Substitute the value of x from equation ( 1 )

we have,

y² / (36 / y ) = 36²


y³ = ( 36 )³


y = 36


therefore,

x = 36/ y = 1



Hence,
the numbers will be 1 and 36.



Hope it might be helpful :)