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Finding the Third Proportional to 438,766 and 663,549

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Solution

The third proportional to 438,766 and 663,549 is: 1,003,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,766 : 663,549 = 663,549 : x
  2. Step 2: Convert to fraction form
    438,766/663,549 = 663,549/x
  3. Step 3: Cross multiply
    438,766x = 663,549 × 663,549
  4. Step 4: Simplify right side
    438,766x = 440,297,275,401
  5. Step 5: Solve for x
    x = 440,297,275,401/438,766
  6. Step 6: Final answer
    x = 1,003,489.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.