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Finding the Third Proportional to 396,540,909 and 858,960,090

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Solution

The third proportional to 396,540,909 and 858,960,090 is: 1,860,621,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,540,909 : 858,960,090 = 858,960,090 : x
  2. Step 2: Convert to fraction form
    396,540,909/858,960,090 = 858,960,090/x
  3. Step 3: Cross multiply
    396,540,909x = 858,960,090 × 858,960,090
  4. Step 4: Simplify right side
    396,540,909x = 737,812,436,212,808,064
  5. Step 5: Solve for x
    x = 737,812,436,212,808,064/396,540,909
  6. Step 6: Final answer
    x = 1,860,621,235.96

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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.