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Finding the Third Proportional to 110.88 and 115.38

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Solution

The third proportional to 110.88 and 115.38 is: 120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 115.38 = 115.38 : x
  2. Step 2: Convert to fraction form
    110.88/115.38 = 115.38/x
  3. Step 3: Cross multiply
    110.88x = 115.38 × 115.38
  4. Step 4: Simplify right side
    110.88x = 13,311.39
  5. Step 5: Solve for x
    x = 13,311.39/110.88
  6. Step 6: Final answer
    x = 120.06

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.