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Finding the Third Proportional to 396,073 and 851,855

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Solution

The third proportional to 396,073 and 851,855 is: 1,832,129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,073 : 851,855 = 851,855 : x
  2. Step 2: Convert to fraction form
    396,073/851,855 = 851,855/x
  3. Step 3: Cross multiply
    396,073x = 851,855 × 851,855
  4. Step 4: Simplify right side
    396,073x = 725,656,941,025
  5. Step 5: Solve for x
    x = 725,656,941,025/396,073
  6. Step 6: Final answer
    x = 1,832,129.28

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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.