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Finding the Third Proportional to 57.85 and 125.84

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Solution

The third proportional to 57.85 and 125.84 is: 273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.85 : 125.84 = 125.84 : x
  2. Step 2: Convert to fraction form
    57.85/125.84 = 125.84/x
  3. Step 3: Cross multiply
    57.85x = 125.84 × 125.84
  4. Step 4: Simplify right side
    57.85x = 15,835.86
  5. Step 5: Solve for x
    x = 15,835.86/57.85
  6. Step 6: Final answer
    x = 273.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.