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Finding the Third Proportional to 31.38 and 81.75

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Solution

The third proportional to 31.38 and 81.75 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.38 : 81.75 = 81.75 : x
  2. Step 2: Convert to fraction form
    31.38/81.75 = 81.75/x
  3. Step 3: Cross multiply
    31.38x = 81.75 × 81.75
  4. Step 4: Simplify right side
    31.38x = 6,683.06
  5. Step 5: Solve for x
    x = 6,683.06/31.38
  6. Step 6: Final answer
    x = 213.01

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.