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Finding the Third Proportional to 31.93 and 50.18

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Solution

The third proportional to 31.93 and 50.18 is: 78.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.93 : 50.18 = 50.18 : x
  2. Step 2: Convert to fraction form
    31.93/50.18 = 50.18/x
  3. Step 3: Cross multiply
    31.93x = 50.18 × 50.18
  4. Step 4: Simplify right side
    31.93x = 2,517.56
  5. Step 5: Solve for x
    x = 2,517.56/31.93
  6. Step 6: Final answer
    x = 78.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.