Finding the Third Proportional to 173 and 397.50
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Solution
The third proportional to 173 and 397.50 is: 913.33
Step by Step Solution
- Step 1: Write the proportion equation
173 : 397.50 = 397.50 : x - Step 2: Convert to fraction form
173/397.50 = 397.50/x - Step 3: Cross multiply
173x = 397.50 × 397.50 - Step 4: Simplify right side
173x = 158,006.25 - Step 5: Solve for x
x = 158,006.25/173 - Step 6: Final answer
x = 913.33
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.