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Finding the Third Proportional to 26.76 and 55.42

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Solution

The third proportional to 26.76 and 55.42 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.76 : 55.42 = 55.42 : x
  2. Step 2: Convert to fraction form
    26.76/55.42 = 55.42/x
  3. Step 3: Cross multiply
    26.76x = 55.42 × 55.42
  4. Step 4: Simplify right side
    26.76x = 3,071.80
  5. Step 5: Solve for x
    x = 3,071.80/26.76
  6. Step 6: Final answer
    x = 114.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.