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Finding the Third Proportional to 26.76 and 57.78

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Solution

The third proportional to 26.76 and 57.78 is: 124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.76 : 57.78 = 57.78 : x
  2. Step 2: Convert to fraction form
    26.76/57.78 = 57.78/x
  3. Step 3: Cross multiply
    26.76x = 57.78 × 57.78
  4. Step 4: Simplify right side
    26.76x = 3,338.95
  5. Step 5: Solve for x
    x = 3,338.95/26.76
  6. Step 6: Final answer
    x = 124.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.