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Finding the Third Proportional to 17.82 and 31.57

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Solution

The third proportional to 17.82 and 31.57 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.82 : 31.57 = 31.57 : x
  2. Step 2: Convert to fraction form
    17.82/31.57 = 31.57/x
  3. Step 3: Cross multiply
    17.82x = 31.57 × 31.57
  4. Step 4: Simplify right side
    17.82x = 996.68
  5. Step 5: Solve for x
    x = 996.68/17.82
  6. Step 6: Final answer
    x = 55.92

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.