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Finding the Third Proportional to 133,979 and 208,349

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Solution

The third proportional to 133,979 and 208,349 is: 324,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,979 : 208,349 = 208,349 : x
  2. Step 2: Convert to fraction form
    133,979/208,349 = 208,349/x
  3. Step 3: Cross multiply
    133,979x = 208,349 × 208,349
  4. Step 4: Simplify right side
    133,979x = 43,409,305,801
  5. Step 5: Solve for x
    x = 43,409,305,801/133,979
  6. Step 6: Final answer
    x = 324,000.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.