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Finding the Third Proportional to 26.31 and 57.55

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Solution

The third proportional to 26.31 and 57.55 is: 125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.31 : 57.55 = 57.55 : x
  2. Step 2: Convert to fraction form
    26.31/57.55 = 57.55/x
  3. Step 3: Cross multiply
    26.31x = 57.55 × 57.55
  4. Step 4: Simplify right side
    26.31x = 3,311.64
  5. Step 5: Solve for x
    x = 3,311.64/26.31
  6. Step 6: Final answer
    x = 125.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.