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Finding the Third Proportional to 133,601,720 and 206,867,349

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Solution

The third proportional to 133,601,720 and 206,867,349 is: 320,310,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,601,720 : 206,867,349 = 206,867,349 : x
  2. Step 2: Convert to fraction form
    133,601,720/206,867,349 = 206,867,349/x
  3. Step 3: Cross multiply
    133,601,720x = 206,867,349 × 206,867,349
  4. Step 4: Simplify right side
    133,601,720x = 42,794,100,082,287,800
  5. Step 5: Solve for x
    x = 42,794,100,082,287,800/133,601,720
  6. Step 6: Final answer
    x = 320,310,996.61

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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.