Question

Find the unknown term in the geometric proportion 8 : 2 :: x : 6​

Answer 1

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:}}}`

`\sf8 : 2 :: x : 6`

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:

`\boxed{\: x = (8 *6)/(2) = (48)/(2) = 24 }`

Therefore, the resulting geometric proportion would be:

`\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \red\longmapsto \sf \orange{8 : 24 :: 6}`