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Finding the Third Proportional to 31.91 and 81.95

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Solution

The third proportional to 31.91 and 81.95 is: 210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.91 : 81.95 = 81.95 : x
  2. Step 2: Convert to fraction form
    31.91/81.95 = 81.95/x
  3. Step 3: Cross multiply
    31.91x = 81.95 × 81.95
  4. Step 4: Simplify right side
    31.91x = 6,716.39
  5. Step 5: Solve for x
    x = 6,716.39/31.91
  6. Step 6: Final answer
    x = 210.51

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.