Given $$\triangle ABC$$ with $$\angle B=60^{\circ}$$ and $$\angle C=30^{\circ}$$, let $$P, Q, R$$ be points on sides $$BA, AC, CB$$ respectively such that $$BPQR$$ is an isosceles trapezium with $$PQ||BR$$ and $$BP=QR$$. Find the minimum possible value of $$\frac{2[ABC]}{[BPQR]}$$ where $$[S]$$ denotes the area of any polygon $$S$$.