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Finding the Third Proportional to 396,917 and 853,738

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Solution

The third proportional to 396,917 and 853,738 is: 1,836,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,917 : 853,738 = 853,738 : x
  2. Step 2: Convert to fraction form
    396,917/853,738 = 853,738/x
  3. Step 3: Cross multiply
    396,917x = 853,738 × 853,738
  4. Step 4: Simplify right side
    396,917x = 728,868,572,644
  5. Step 5: Solve for x
    x = 728,868,572,644/396,917
  6. Step 6: Final answer
    x = 1,836,324.91

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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.