ICSE Class 10CISCE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Find Two Numbers Such that the Mean Mean Proportional Between Them is 12 and the Third Proportional to Them is 96. - ICSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

Find two numbers such that the mean proportional between them is 12 and the third proportional to them is 96.

Solution

Let a and b be the two numbers whose mean proportional is 12

`∴ ab = 12^2 => ab = 144 => 144/a` ....(1)

Now third proportional is 96

∴ a : b : : b : 96

`=> b^2 = 96a`

`=> (144/a)^2 = 96a`

`=> a^3 = (144 xx 144)/96`

`=> a^3 = 216` 

`=> a = 6`

`b = 144/6 = 24`

Therefore the number are 6 and 24.

  Is there an error in this question or solution?

APPEARS IN

 Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7B | Q: 14

Video TutorialsVIEW ALL [1]

Solution Find Two Numbers Such that the Mean Mean Proportional Between Them is 12 and the Third Proportional to Them is 96. Concept: Proportions.
S
View in app×