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Finding the Third Proportional to 133,372 and 206,377

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Solution

The third proportional to 133,372 and 206,377 is: 319,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,372 : 206,377 = 206,377 : x
  2. Step 2: Convert to fraction form
    133,372/206,377 = 206,377/x
  3. Step 3: Cross multiply
    133,372x = 206,377 × 206,377
  4. Step 4: Simplify right side
    133,372x = 42,591,466,129
  5. Step 5: Solve for x
    x = 42,591,466,129/133,372
  6. Step 6: Final answer
    x = 319,343.39

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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.