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Finding the Third Proportional to 392,898 and 857,762

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Solution

The third proportional to 392,898 and 857,762 is: 1,872,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898 : 857,762 = 857,762 : x
  2. Step 2: Convert to fraction form
    392,898/857,762 = 857,762/x
  3. Step 3: Cross multiply
    392,898x = 857,762 × 857,762
  4. Step 4: Simplify right side
    392,898x = 735,755,648,644
  5. Step 5: Solve for x
    x = 735,755,648,644/392,898
  6. Step 6: Final answer
    x = 1,872,637.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.