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Finding the Third Proportional to 60.38 and 91.88

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Solution

The third proportional to 60.38 and 91.88 is: 139.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.38 : 91.88 = 91.88 : x
  2. Step 2: Convert to fraction form
    60.38/91.88 = 91.88/x
  3. Step 3: Cross multiply
    60.38x = 91.88 × 91.88
  4. Step 4: Simplify right side
    60.38x = 8,441.02
  5. Step 5: Solve for x
    x = 8,441.02/60.38
  6. Step 6: Final answer
    x = 139.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.