2 Answers

Aman Mohammed · Answer 1 · 2023-09-28T15:40:03+0000

Arithmetic proportions:

Arithmetic proportions are those whose means are not equal and are called discrete arithmetic proportions. On the contrary, if the means of the arithmetic proportion are equal, it is called continuous.

$\bf\large{\underline{\fcolorbox{blue}{aqua}{Problem:}}}$

$\sf 20 : x :: x : 5$

Since the unknown term is an extreme and as we have seen, it is equal to the product of the means divided by the other extremes, we will have:

$\sf x = √(20 * 5) = √(100) = 10$

Therefore, the resulting geometric proportion would be:

$\: \: \: \: \: \: \: \: \: \: \: \red\longmapsto \sf \orange{20 : 10 ::10: 5 }$

CadisEtRama · Answer 2 · 2023-10-02T07:56:24+0000

Arithmetic proportions :

Arithmetic proportions are those whose means are not equal and are called discrete arithmetic proportions. On the contrary, if the means of the arithmetic proportion are equal, it is called continuous.

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Rightarrow \bold{x :: x : 5 }$

Since the unknown term is an extreme and as we have seen, it is equal to the product of the means divided by the other extremes, we will have:

$\bold{ x = √(20 * 5) = √(100) }$