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Finding the Third Proportional to 429,342 and 564,741

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Solution

The third proportional to 429,342 and 564,741 is: 742,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,342 : 564,741 = 564,741 : x
  2. Step 2: Convert to fraction form
    429,342/564,741 = 564,741/x
  3. Step 3: Cross multiply
    429,342x = 564,741 × 564,741
  4. Step 4: Simplify right side
    429,342x = 318,932,397,081
  5. Step 5: Solve for x
    x = 318,932,397,081/429,342
  6. Step 6: Final answer
    x = 742,839.97

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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.