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Finding the Third Proportional to 399,084 and 542,829

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Solution

The third proportional to 399,084 and 542,829 is: 738,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,084 : 542,829 = 542,829 : x
  2. Step 2: Convert to fraction form
    399,084/542,829 = 542,829/x
  3. Step 3: Cross multiply
    399,084x = 542,829 × 542,829
  4. Step 4: Simplify right side
    399,084x = 294,663,323,241
  5. Step 5: Solve for x
    x = 294,663,323,241/399,084
  6. Step 6: Final answer
    x = 738,349.13

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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.