Question

The mean proportional between two numbers is 56. If the third proportional of the the same two numberis 448.then dind the sum of two numbers​

Answer 1

Answer:

$<font color=red>$

(The mean proportional between two numbers is 56 ) we will express it as:-

$<font color=blue>$

a : x = x : b

a × b = x × x

ab = (56)²

$<font color=red>$

(third proportional of the the same two numberis 448 ) we will Express it as:-

$<font color=blue>$

a : b = b : c

b² = ac

$<font color=red>$

let the two number be a and b:-

$<font color=blue>$

b² = ac

ab = (56)²

b² = ab

b² = (448)a

b² = (448) (56)² / b

b³ = 448 × 56 × 56

b= √448 × 56 × 56

b = 112

ab = (56)²

a = (56)²/112

a = 56 × 56/112

$<font color=purple>$

a = 28

b = 112

$<font color=green>$

sum of two number = 112 + 28 = 140

$<font color=lightblue>$

.....ItzUniq...... ♥