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:

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

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a : x = x : b

a × b = x × x

ab = (56)²

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

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a : b = b : c

b² = ac

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let the two number be a and b:-

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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

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a = 28

b = 112

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sum of two number = 112 + 28 = 140

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.....ItzUniq...... ♥

Answer 2

Answer:

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let the two number be a and b:-

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

a = 28

b = 112

sum = 112 + 28 = 140

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