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Finding the Third Proportional to 110.88 and 121.38

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Solution

The third proportional to 110.88 and 121.38 is: 132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.88 : 121.38 = 121.38 : x
  2. Step 2: Convert to fraction form
    110.88/121.38 = 121.38/x
  3. Step 3: Cross multiply
    110.88x = 121.38 × 121.38
  4. Step 4: Simplify right side
    110.88x = 14,731.89
  5. Step 5: Solve for x
    x = 14,731.89/110.88
  6. Step 6: Final answer
    x = 132.87

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.