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Finding the Third Proportional to 543,123 and 861,246

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Solution

The third proportional to 543,123 and 861,246 is: 1,365,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,123 : 861,246 = 861,246 : x
  2. Step 2: Convert to fraction form
    543,123/861,246 = 861,246/x
  3. Step 3: Cross multiply
    543,123x = 861,246 × 861,246
  4. Step 4: Simplify right side
    543,123x = 741,744,672,516
  5. Step 5: Solve for x
    x = 741,744,672,516/543,123
  6. Step 6: Final answer
    x = 1,365,702.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.