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Finding the Third Proportional to 394,443 and 851,165

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Solution

The third proportional to 394,443 and 851,165 is: 1,836,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,443 : 851,165 = 851,165 : x
  2. Step 2: Convert to fraction form
    394,443/851,165 = 851,165/x
  3. Step 3: Cross multiply
    394,443x = 851,165 × 851,165
  4. Step 4: Simplify right side
    394,443x = 724,481,857,225
  5. Step 5: Solve for x
    x = 724,481,857,225/394,443
  6. Step 6: Final answer
    x = 1,836,721.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.