Question

find the terms are in continued proportion 36, x,49​

Answer 1

Answer:

x=7.5

Step-by-step explanation:

Answer 2

Answer:

Continued proportion means that: the proportion between each two consecutive terms is constant and doesn't change for the whole series.

so we have

\dfrac{36}{x}=\dfrac{x}{49}

x

36

=

49

x

in order to solve this equation and get the values of x, we multiply both sides by xx then by 4949

\dfrac{36}{x}*49*x=\dfrac{x}{49}*49*x

x

36

∗49∗x=

49

x

∗49∗x

36*49=x^{2}36∗49=x

2

or x^{2}=36*49x

2

=36∗49

to solve an equation on this form we take the square root of both sides

\sqrt{x^{2}}=\sqrt{36*49}=\sqrt{36}*\sqrt{49}

x

2

=

36∗49

=

36

∗

49

x=\pm6*7=\pm42x=±6∗7=±42

Note that we get \pm± because they both result in the given result of 36*4936∗49

so the final answer would be x=\pm 42x=±42