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Finding the Third Proportional to 133,601,722 and 206,867,352

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Solution

The third proportional to 133,601,722 and 206,867,352 is: 320,311,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,601,722 : 206,867,352 = 206,867,352 : x
  2. Step 2: Convert to fraction form
    133,601,722/206,867,352 = 206,867,352/x
  3. Step 3: Cross multiply
    133,601,722x = 206,867,352 × 206,867,352
  4. Step 4: Simplify right side
    133,601,722x = 42,794,101,323,491,904
  5. Step 5: Solve for x
    x = 42,794,101,323,491,904/133,601,722
  6. Step 6: Final answer
    x = 320,311,001.11

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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.