Question

between 2 numbers means proportion is 18 and third proportion of same 2 number is 144 find the 2 numbers​

Answer 1

Answer: 32 84

Step-by-step explanation:

Answer 2

Answer:

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.