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Finding the Third Proportional to 396,493 and 857,500

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Solution

The third proportional to 396,493 and 857,500 is: 1,854,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,493 : 857,500 = 857,500 : x
  2. Step 2: Convert to fraction form
    396,493/857,500 = 857,500/x
  3. Step 3: Cross multiply
    396,493x = 857,500 × 857,500
  4. Step 4: Simplify right side
    396,493x = 735,306,250,000
  5. Step 5: Solve for x
    x = 735,306,250,000/396,493
  6. Step 6: Final answer
    x = 1,854,525.17

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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.