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Finding the Third Proportional to 534,730 and 726,408

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Solution

The third proportional to 534,730 and 726,408 is: 986,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,730 : 726,408 = 726,408 : x
  2. Step 2: Convert to fraction form
    534,730/726,408 = 726,408/x
  3. Step 3: Cross multiply
    534,730x = 726,408 × 726,408
  4. Step 4: Simplify right side
    534,730x = 527,668,582,464
  5. Step 5: Solve for x
    x = 527,668,582,464/534,730
  6. Step 6: Final answer
    x = 986,794.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.