\( \mathrm{P} \) is the mid point of \( \mathrm{BC} \) and \( \mathrm{Q} \) is mid point of \( \...

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\( \mathrm{P} \) is the mid point of \( \mathrm{BC} \) and \( \mathrm{Q} \) is mid point of \( \mathrm{AP} \). If \( \mathrm{BQ} \) when produced meets \( \mathrm{AC} \) at \( \mathrm{R} \), then find \( \frac{\mathrm{CA}}{\mathrm{RA}} \).
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