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Finding the Third Proportional to 397,298 and 868,866

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Solution

The third proportional to 397,298 and 868,866 is: 1,900,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,298 : 868,866 = 868,866 : x
  2. Step 2: Convert to fraction form
    397,298/868,866 = 868,866/x
  3. Step 3: Cross multiply
    397,298x = 868,866 × 868,866
  4. Step 4: Simplify right side
    397,298x = 754,928,125,956
  5. Step 5: Solve for x
    x = 754,928,125,956/397,298
  6. Step 6: Final answer
    x = 1,900,155.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.