Question 701339


three geometric means between {{{8}}} and {{{40.5}}}:

{{{40.5 = 8r^4}}}
{{{40.5/8 = r^4}}}
{{{5.0625 = r^4}}}
{{{r=root(4,5.0625)}}}
{{{r=1.5 }}}



{{{r=1.5}}} is the ratio, so you multiply {{{8}}} by {{{1.5}}} (which equals {{{12}}}), giving you the {{{first}}} of the three geometric means, multiply {{{12}}} by {{{1.5}}} (which equals {{{18}}}) to get the {{{second}}} of the three geometric means, and multiply {{{18}}} by {{{1.5}}} (which equals {{{27}}}) to get the {{{third}}} of the three geometric means

Final answer: {{{12}}},{{{18}}}, {{{27}}}


Multiplying {{{27}}} by {{{1.5}}} gives you {{{40.5}}}, so it is correct.