Question

6 is the mean proportion between the two numbers x and y and 48 is the third proportional of X and Y find the numbers​

Answer 1

Answer:

3 and 12.

Step-by-step explanation:

6 is the mean proportional between two numbers x and y.

6 = √xy

=> 36 = xy

=> x = 36/y. ---------------- [1]

48 is the third proportional between x and y.

y² = 48x  --------------- [2]

Substitute [1] in [2]

y² = 48 * 36/y

=> y³ = 1728

=> y = 12

Substitute value of y in [1]

=> x = 36/12 = 3.

Thus the numbers are 3 and 12.