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Finding the Third Proportional to 396,540,930 and 858,960,132

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Solution

The third proportional to 396,540,930 and 858,960,132 is: 1,860,621,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540,930 : 858,960,132 = 858,960,132 : x
  2. Step 2: Convert to fraction form
    396,540,930/858,960,132 = 858,960,132/x
  3. Step 3: Cross multiply
    396,540,930x = 858,960,132 × 858,960,132
  4. Step 4: Simplify right side
    396,540,930x = 737,812,508,365,457,408
  5. Step 5: Solve for x
    x = 737,812,508,365,457,408/396,540,930
  6. Step 6: Final answer
    x = 1,860,621,319.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.