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Finding the Third Proportional to 133,791.75 and 278,650.13

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Solution

The third proportional to 133,791.75 and 278,650.13 is: 580,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,791.75 : 278,650.13 = 278,650.13 : x
  2. Step 2: Convert to fraction form
    133,791.75/278,650.13 = 278,650.13/x
  3. Step 3: Cross multiply
    133,791.75x = 278,650.13 × 278,650.13
  4. Step 4: Simplify right side
    133,791.75x = 77,645,892,162.52
  5. Step 5: Solve for x
    x = 77,645,892,162.52/133,791.75
  6. Step 6: Final answer
    x = 580,348.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.