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Finding the Third Proportional to 396,074 and 851,856

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Solution

The third proportional to 396,074 and 851,856 is: 1,832,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,074 : 851,856 = 851,856 : x
  2. Step 2: Convert to fraction form
    396,074/851,856 = 851,856/x
  3. Step 3: Cross multiply
    396,074x = 851,856 × 851,856
  4. Step 4: Simplify right side
    396,074x = 725,658,644,736
  5. Step 5: Solve for x
    x = 725,658,644,736/396,074
  6. Step 6: Final answer
    x = 1,832,128.96

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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.