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Finding the Third Proportional to 57.23 and 125.86

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Solution

The third proportional to 57.23 and 125.86 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.23 : 125.86 = 125.86 : x
  2. Step 2: Convert to fraction form
    57.23/125.86 = 125.86/x
  3. Step 3: Cross multiply
    57.23x = 125.86 × 125.86
  4. Step 4: Simplify right side
    57.23x = 15,840.58
  5. Step 5: Solve for x
    x = 15,840.58/57.23
  6. Step 6: Final answer
    x = 276.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.