12 : □ = □ : 4 = 8 : 16

12 : `square` = `square` : 4 = 8 : 16

Fill in the Blanks

12 : 24 = 2 : 4 = 8 : 16

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

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

If (a² + b²)(x² + y²) = (ax + by)²; prove that: `a/x = b/y`.

What least number must be added to each of the numbers 16, 7, 79 and 43 so that the resulting
numbers are in proportion?

Check whether the following numbers are in continued proportion.

2, 4, 8

If ax = by = cz, prove that
`x^2/(yz) + y^2/(zx) + z^2/(xy) = (bc)/a^2 + (ca)/b^2 + (ab)/c^2`.

What number must be added to each of the numbers 5, 11, 19 and 37 so that they are in proportion?

Write (T) for true and (F) for false in case of the following:

51 : 68 : : 85 : 102

35 inland letters cost Rs 87.50. How many such letters can we buy for 315?

If b is the mean proportional between a and c, prove that a, c, a² + b², and b² + c² are proportional.

`square` : 24 : : 3 : 8

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