Question

find two numbers such that the mean proportional between them is 18 and third proportional to them is 144​

Answer 1

Answer:

Hi The Answer Is 9 And 36

Step-by-step explanation:

Let the required number be x&y.

∴14is the mean proportional between x&y.

Then,

18

x

=

y

18

⇒xy=18×18=324

⇒x=

y

324

.......(1)

And given that, 144 is the third proportional to x&y.

Then, x:y::y:144

i.e.

y

x

=

144

y

⇒y

2

=144x.......(2)

Putting the value of x by equation (1) to (2) and we get,

⇒y

2

=144×

y

324

⇒y

3

=144×324

⇒y

3

=2×2×2×2×3×3×2×3×3×2×3×3

⇒y

3

=36×36×36

⇒y

3

=36

3

⇒y=36

Put the value of y in equation (1), and we get

x=

36

324

x=9

Hence, this is the answer.

Answer By Shaurya Dabas