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Finding the Third Proportional to 247,115 and 539,549

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Solution

The third proportional to 247,115 and 539,549 is: 1,178,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,115 : 539,549 = 539,549 : x
  2. Step 2: Convert to fraction form
    247,115/539,549 = 539,549/x
  3. Step 3: Cross multiply
    247,115x = 539,549 × 539,549
  4. Step 4: Simplify right side
    247,115x = 291,113,123,401
  5. Step 5: Solve for x
    x = 291,113,123,401/247,115
  6. Step 6: Final answer
    x = 1,178,047.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.