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2015-10-05T12:54:52+05:30

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If your question is 6:180::9: __; then 
let the number be x. 
6:180::9: x\\ \\ \Rightarrow  \frac{6}{180} = \frac{9}{x} \\ \\ \Rightarrow x=9 \times \frac{180}{6} \\ \\ \Rightarrow x=\boxed{270}

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But there is no option of 270. 
So If you want a number from the options;

6²(6-1) = 180
9²(9-1) = 81×8 = 648

648 is the missing number.

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