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Finding the Third Proportional to 60,387 and 131,147

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Solution

The third proportional to 60,387 and 131,147 is: 284,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,387 : 131,147 = 131,147 : x
  2. Step 2: Convert to fraction form
    60,387/131,147 = 131,147/x
  3. Step 3: Cross multiply
    60,387x = 131,147 × 131,147
  4. Step 4: Simplify right side
    60,387x = 17,199,535,609
  5. Step 5: Solve for x
    x = 17,199,535,609/60,387
  6. Step 6: Final answer
    x = 284,821.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.