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Finding the Third Proportional to 397,289 and 868,849

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Solution

The third proportional to 397,289 and 868,849 is: 1,900,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,289 : 868,849 = 868,849 : x
  2. Step 2: Convert to fraction form
    397,289/868,849 = 868,849/x
  3. Step 3: Cross multiply
    397,289x = 868,849 × 868,849
  4. Step 4: Simplify right side
    397,289x = 754,898,584,801
  5. Step 5: Solve for x
    x = 754,898,584,801/397,289
  6. Step 6: Final answer
    x = 1,900,124.56

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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.