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Finding the Third Proportional to 58.38 and 86.85

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Solution

The third proportional to 58.38 and 86.85 is: 129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.38 : 86.85 = 86.85 : x
  2. Step 2: Convert to fraction form
    58.38/86.85 = 86.85/x
  3. Step 3: Cross multiply
    58.38x = 86.85 × 86.85
  4. Step 4: Simplify right side
    58.38x = 7,543.53
  5. Step 5: Solve for x
    x = 7,543.53/58.38
  6. Step 6: Final answer
    x = 129.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.