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Finding the Third Proportional to 397,376 and 862,028

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Solution

The third proportional to 397,376 and 862,028 is: 1,869,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,376 : 862,028 = 862,028 : x
  2. Step 2: Convert to fraction form
    397,376/862,028 = 862,028/x
  3. Step 3: Cross multiply
    397,376x = 862,028 × 862,028
  4. Step 4: Simplify right side
    397,376x = 743,092,272,784
  5. Step 5: Solve for x
    x = 743,092,272,784/397,376
  6. Step 6: Final answer
    x = 1,869,997.87

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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.