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Finding the Third Proportional to 247,720 and 527,408

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Solution

The third proportional to 247,720 and 527,408 is: 1,122,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,720 : 527,408 = 527,408 : x
  2. Step 2: Convert to fraction form
    247,720/527,408 = 527,408/x
  3. Step 3: Cross multiply
    247,720x = 527,408 × 527,408
  4. Step 4: Simplify right side
    247,720x = 278,159,198,464
  5. Step 5: Solve for x
    x = 278,159,198,464/247,720
  6. Step 6: Final answer
    x = 1,122,877.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.