Finding the Third Proportional to 489 and 549
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Solution
The third proportional to 489 and 549 is: 616.36
Step by Step Solution
- Step 1: Write the proportion equation
489 : 549 = 549 : x - Step 2: Convert to fraction form
489/549 = 549/x - Step 3: Cross multiply
489x = 549 × 549 - Step 4: Simplify right side
489x = 301,401 - Step 5: Solve for x
x = 301,401/489 - Step 6: Final answer
x = 616.36
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.