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Finding the Third Proportional to 397,394 and 861,088

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Solution

The third proportional to 397,394 and 861,088 is: 1,865,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,394 : 861,088 = 861,088 : x
  2. Step 2: Convert to fraction form
    397,394/861,088 = 861,088/x
  3. Step 3: Cross multiply
    397,394x = 861,088 × 861,088
  4. Step 4: Simplify right side
    397,394x = 741,472,543,744
  5. Step 5: Solve for x
    x = 741,472,543,744/397,394
  6. Step 6: Final answer
    x = 1,865,837.29

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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.