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Finding the Third Proportional to 58.38 and 81.13

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Solution

The third proportional to 58.38 and 81.13 is: 112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 81.13 = 81.13 : x
  2. Step 2: Convert to fraction form
    58.38/81.13 = 81.13/x
  3. Step 3: Cross multiply
    58.38x = 81.13 × 81.13
  4. Step 4: Simplify right side
    58.38x = 6,581.27
  5. Step 5: Solve for x
    x = 6,581.27/58.38
  6. Step 6: Final answer
    x = 112.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.