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Finding the Third Proportional to 402,691 and 563,282

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Solution

The third proportional to 402,691 and 563,282 is: 787,915.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,691 : 563,282 = 563,282 : x
  2. Step 2: Convert to fraction form
    402,691/563,282 = 563,282/x
  3. Step 3: Cross multiply
    402,691x = 563,282 × 563,282
  4. Step 4: Simplify right side
    402,691x = 317,286,611,524
  5. Step 5: Solve for x
    x = 317,286,611,524/402,691
  6. Step 6: Final answer
    x = 787,915.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.