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Finding the Third Proportional to 396,540,905 and 858,960,082

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Solution

The third proportional to 396,540,905 and 858,960,082 is: 1,860,621,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540,905 : 858,960,082 = 858,960,082 : x
  2. Step 2: Convert to fraction form
    396,540,905/858,960,082 = 858,960,082/x
  3. Step 3: Cross multiply
    396,540,905x = 858,960,082 × 858,960,082
  4. Step 4: Simplify right side
    396,540,905x = 737,812,422,469,446,784
  5. Step 5: Solve for x
    x = 737,812,422,469,446,784/396,540,905
  6. Step 6: Final answer
    x = 1,860,621,220.07

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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.