Finding the Third Proportional to 472 and 572.50
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Solution
The third proportional to 472 and 572.50 is: 694.40
Step by Step Solution
- Step 1: Write the proportion equation
472 : 572.50 = 572.50 : x - Step 2: Convert to fraction form
472/572.50 = 572.50/x - Step 3: Cross multiply
472x = 572.50 × 572.50 - Step 4: Simplify right side
472x = 327,756.25 - Step 5: Solve for x
x = 327,756.25/472 - Step 6: Final answer
x = 694.40
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.