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Finding the Third Proportional to 105.66 and 136.78

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Solution

The third proportional to 105.66 and 136.78 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.66 : 136.78 = 136.78 : x
  2. Step 2: Convert to fraction form
    105.66/136.78 = 136.78/x
  3. Step 3: Cross multiply
    105.66x = 136.78 × 136.78
  4. Step 4: Simplify right side
    105.66x = 18,709.11
  5. Step 5: Solve for x
    x = 18,709.11/105.66
  6. Step 6: Final answer
    x = 177.08

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.