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Finding the Third Proportional to 12.71 and 27.82

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Solution

The third proportional to 12.71 and 27.82 is: 60.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.71 : 27.82 = 27.82 : x
  2. Step 2: Convert to fraction form
    12.71/27.82 = 27.82/x
  3. Step 3: Cross multiply
    12.71x = 27.82 × 27.82
  4. Step 4: Simplify right side
    12.71x = 774.10
  5. Step 5: Solve for x
    x = 774.10/12.71
  6. Step 6: Final answer
    x = 60.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.