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Finding the Third Proportional to 397,396 and 861,092

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Solution

The third proportional to 397,396 and 861,092 is: 1,865,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,396 : 861,092 = 861,092 : x
  2. Step 2: Convert to fraction form
    397,396/861,092 = 861,092/x
  3. Step 3: Cross multiply
    397,396x = 861,092 × 861,092
  4. Step 4: Simplify right side
    397,396x = 741,479,432,464
  5. Step 5: Solve for x
    x = 741,479,432,464/397,396
  6. Step 6: Final answer
    x = 1,865,845.23

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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.