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Finding the Third Proportional to 396,067 and 851,843

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Solution

The third proportional to 396,067 and 851,843 is: 1,832,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,067 : 851,843 = 851,843 : x
  2. Step 2: Convert to fraction form
    396,067/851,843 = 851,843/x
  3. Step 3: Cross multiply
    396,067x = 851,843 × 851,843
  4. Step 4: Simplify right side
    396,067x = 725,636,496,649
  5. Step 5: Solve for x
    x = 725,636,496,649/396,067
  6. Step 6: Final answer
    x = 1,832,105.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.