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Finding the Third Proportional to 429,374 and 564,789

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Solution

The third proportional to 429,374 and 564,789 is: 742,910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,374 : 564,789 = 564,789 : x
  2. Step 2: Convert to fraction form
    429,374/564,789 = 564,789/x
  3. Step 3: Cross multiply
    429,374x = 564,789 × 564,789
  4. Step 4: Simplify right side
    429,374x = 318,986,614,521
  5. Step 5: Solve for x
    x = 318,986,614,521/429,374
  6. Step 6: Final answer
    x = 742,910.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.