Answer:
[tex]\dfrac{QU}{QT}=\dfrac{QR}{QS}=\dfrac{U\!R}{TS}[/tex]
Step-by-step explanation:
You want the expression showing corresponding sides are proportional in triangles QUR and QTS.
Corresponding sides
The numerator of each fraction is a side of the smaller triangle. The corresponding side of the larger triangle is either parallel or contains the shorter segment.
This means the desired equation is ...
[tex]\dfrac{QU}{QT}=\dfrac{QR}{\boxed{QS}}=\dfrac{U\!R}{\boxed{TS}}[/tex]
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Additional comment
The attached calculator display shows the corresponding sides have the same ratios: short/long = 2/3.
