Finding the Third Proportional to 271 and 472.50
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Solution
The third proportional to 271 and 472.50 is: 823.82
Step by Step Solution
- Step 1: Write the proportion equation
271 : 472.50 = 472.50 : x - Step 2: Convert to fraction form
271/472.50 = 472.50/x - Step 3: Cross multiply
271x = 472.50 × 472.50 - Step 4: Simplify right side
271x = 223,256.25 - Step 5: Solve for x
x = 223,256.25/271 - Step 6: Final answer
x = 823.82
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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.