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Finding the Third Proportional to 80.80 and 111.53

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Solution

The third proportional to 80.80 and 111.53 is: 153.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.80 : 111.53 = 111.53 : x
  2. Step 2: Convert to fraction form
    80.80/111.53 = 111.53/x
  3. Step 3: Cross multiply
    80.80x = 111.53 × 111.53
  4. Step 4: Simplify right side
    80.80x = 12,439.66
  5. Step 5: Solve for x
    x = 12,439.66/80.80
  6. Step 6: Final answer
    x = 153.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.