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Finding the Third Proportional to 57,007 and 131,959

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Solution

The third proportional to 57,007 and 131,959 is: 305,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,007 : 131,959 = 131,959 : x
  2. Step 2: Convert to fraction form
    57,007/131,959 = 131,959/x
  3. Step 3: Cross multiply
    57,007x = 131,959 × 131,959
  4. Step 4: Simplify right side
    57,007x = 17,413,177,681
  5. Step 5: Solve for x
    x = 17,413,177,681/57,007
  6. Step 6: Final answer
    x = 305,456.83

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.