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Finding the Third Proportional to 62.92 and 131.09

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Solution

The third proportional to 62.92 and 131.09 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.92 : 131.09 = 131.09 : x
  2. Step 2: Convert to fraction form
    62.92/131.09 = 131.09/x
  3. Step 3: Cross multiply
    62.92x = 131.09 × 131.09
  4. Step 4: Simplify right side
    62.92x = 17,185.57
  5. Step 5: Solve for x
    x = 17,185.57/62.92
  6. Step 6: Final answer
    x = 273.13

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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.