Question

1. The mean proportion between two numbers x and y is 6. The third proportion of x

and y is 48. Find the numbers.​

Answer 1

Answer:

 3  

 4

Step-by-step explanation:

The meaning of proportion means ,

  a : b :c , where b is mean, a and c are extremes

  also b² = ac according to the property of proportion

so, given  x : 6 : y are in proportion

also given that 3rd proportion i.e. y is 48 so,

  the proportion is x : 6 : 48

we have to find x , so acc. to property b² = ac

here b = 6 a = x and c = 48

so,  6² = a x 48

 or  36 =  48a

  =>  a = 36/48  =    3  

                                4