Check whether the following numbers are in continued proportion. 3, 5, 8 - Algebra

Check whether the following numbers are in continued proportion.

3, 5, 8

One Line Answer

Since `3/5 ≠ 5/8`, so the numbers 3, 5, 8 are not in continued proportion.

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Chapter 4: Ratio and Proportion - Problem Set 4 [Page 78]

Chapter 4 Ratio and Proportion
Problem Set 4 | Q (4) (iv) | Page 78

If `a/b = c/d` prove that each of the given ratios is equal to

`(5a + 4c)/(5b + 4d)`

If q is the mean proportional between p and r prove that `(p^3 + q^3 + r^3)/(p^2q^2r^2) = 1/p^3 + 1/q^3 = 1/r^3`

Find the fourth proportion to the following :

(x² - y²),(x³ + y³)anc(x³ - xy² + x²y- y³)

Find the mean proportion of the following :

`28/3` and `175/27`

If p, q and r in continued proportion, then prove the following :

`"p"^2 - "q"^2 + "r"^2 = "q"^4 (1/"p"^2 - 1/"q"^2 - 1/"r"^2)`

Determine if the following numbers are in proportion:

150, 200, 250, 300

The 1st, 3rd, and 4th terms of a proportion are 12, 8, and 14 respectively. Find the 2nd term.

Show that the following numbers are in continued proportion:

16, 84, 441

If the cost of 12 pens is Rs 138, then the cost of 14 such pens is

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