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Finding the Third Proportional to 400,092 and 868,876

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Solution

The third proportional to 400,092 and 868,876 is: 1,886,929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,092 : 868,876 = 868,876 : x
  2. Step 2: Convert to fraction form
    400,092/868,876 = 868,876/x
  3. Step 3: Cross multiply
    400,092x = 868,876 × 868,876
  4. Step 4: Simplify right side
    400,092x = 754,945,503,376
  5. Step 5: Solve for x
    x = 754,945,503,376/400,092
  6. Step 6: Final answer
    x = 1,886,929.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.