Question 701340
 two geometric means between {{{7}}} and {{{15.379}}}:


{{{an=a1(r)^n-1}}}

{{{a4=7(r)^4-1}}}

{{{15.379=7(r)^3}}}

{{{15.379/7=r^3}}}

{{{2.197=r^3}}}

{{{r=root(3,2.197)}}}

{{{r=1.3}}}


{{{r=1.3}}} is the ratio, so you multiply {{{7}}} by {{{1.3}}} (which equals {{{9.1}}}), giving you the {{{first}}} of the two geometric means, and multiply {{{9.1}}} by {{{1.3}}} (which equals {{{11.83}}}) to get the {{{second}}} of the two geometric means


Final answer: {{{9.1}}},{{{11.83}}}


Multiplying {{{11.83}}} by {{{1.3}}} gives you {{{15.379}}}, so it is correct.