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Finding the Third Proportional to 110.81 and 135.56

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Solution

The third proportional to 110.81 and 135.56 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.81 : 135.56 = 135.56 : x
  2. Step 2: Convert to fraction form
    110.81/135.56 = 135.56/x
  3. Step 3: Cross multiply
    110.81x = 135.56 × 135.56
  4. Step 4: Simplify right side
    110.81x = 18,377.19
  5. Step 5: Solve for x
    x = 18,377.19/110.81
  6. Step 6: Final answer
    x = 165.84

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.