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Finding the Third Proportional to 399,942 and 866,298

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Solution

The third proportional to 399,942 and 866,298 is: 1,876,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,942 : 866,298 = 866,298 : x
  2. Step 2: Convert to fraction form
    399,942/866,298 = 866,298/x
  3. Step 3: Cross multiply
    399,942x = 866,298 × 866,298
  4. Step 4: Simplify right side
    399,942x = 750,472,224,804
  5. Step 5: Solve for x
    x = 750,472,224,804/399,942
  6. Step 6: Final answer
    x = 1,876,452.65

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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.