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Finding the Third Proportional to 31.11 and 57.73

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Solution

The third proportional to 31.11 and 57.73 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.11 : 57.73 = 57.73 : x
  2. Step 2: Convert to fraction form
    31.11/57.73 = 57.73/x
  3. Step 3: Cross multiply
    31.11x = 57.73 × 57.73
  4. Step 4: Simplify right side
    31.11x = 3,332.77
  5. Step 5: Solve for x
    x = 3,332.77/31.11
  6. Step 6: Final answer
    x = 107.13

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.