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Finding the Third Proportional to 396,865,481.25 and 616,993,192.88

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Solution

The third proportional to 396,865,481.25 and 616,993,192.88 is: 959,218,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,865,481.25 : 616,993,192.88 = 616,993,192.88 : x
  2. Step 2: Convert to fraction form
    396,865,481.25/616,993,192.88 = 616,993,192.88/x
  3. Step 3: Cross multiply
    396,865,481.25x = 616,993,192.88 × 616,993,192.88
  4. Step 4: Simplify right side
    396,865,481.25x = 380,680,600,054,086,976
  5. Step 5: Solve for x
    x = 380,680,600,054,086,976/396,865,481.25
  6. Step 6: Final answer
    x = 959,218,218.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.