Insert two > GP

If 4, 36, 324 are in a geometric progression, insert two more numbers into this progression so that it still forms a geometric progression.

Final Answer:

x =  12
y =  108

Step-by-step explanation:

$$\begin{gathered} a=4 \\ b=36 \\ c=324 \\ x=\sqrt{a\cdot b}=\sqrt{4\cdot 36}=12 \end{gathered}$$

$$\begin{gathered} y=\sqrt{b\cdot c}=\sqrt{36\cdot 324}=108 \\ \text{ Verifying Solution: } \\ {q}_1=x/a=12/4=3 \\ {q}_2=b/x=36/12=3 \\ {q}_3=y/b=108/36=3 \\ {q}_4=c/y=324/108=3 \\ {q}_1=q_2=q_3=q_4 \end{gathered}$$

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