5 : □ : : 10 : 8 : : 15 : □ - Mathematics

5 : `square` : : 10 : 8 : : 15 : `square`

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5 : 4 : : 10 : 8 : : 15 : 12

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Chapter 3: Ratio and Proportion - Exercise 3.3 [Page 58]

Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (iii) | Page 58

If a, b, c are in continued proportion, show that: `(a^2 + b^2)/(b(a + c)) = (b(a + c))/(b^2 + c^2)`.

a, b, c are in continued proportion. If a = 3 and c = 27 then find b.

If a : b : : c : d, then prove that

2a+7b : 2a-7b = 2c+7d : 2c-7d

If a, b, c, d are in continued proportion, prove that (b − c)² + (c − a)²+ (d − b)² = (d − a)².

If a, b, c, d are in continued proportion, prove that:
`sqrt(ab) - sqrt(bc) + sqrt(cd) = sqrt((a - b + c) (b - c + d)`

If a, b, c, d are in continued proportion, prove that:
(a² + b² + c²) (b² + c² + d²) = (ab + bc + cd)².

Find the third proportional to 5, 10

If 22.5 m of a uniform iron rod weighs 85.5 kg, what will be the weight of 5 m of the same rod?

The ratio of boys and girls in a school is 12 : 5. If the number of girls is 840, the total strength of the school is

If a, b, c are in continued proportion, prove that: abc(a + b + c)³ = (ab + bc + ca)³