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Finding the Third Proportional to 31.82 and 75.21

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Solution

The third proportional to 31.82 and 75.21 is: 177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.82 : 75.21 = 75.21 : x
  2. Step 2: Convert to fraction form
    31.82/75.21 = 75.21/x
  3. Step 3: Cross multiply
    31.82x = 75.21 × 75.21
  4. Step 4: Simplify right side
    31.82x = 5,655.95
  5. Step 5: Solve for x
    x = 5,655.95/31.82
  6. Step 6: Final answer
    x = 177.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.