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Finding the Third Proportional to 12.42 and 26.82

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Solution

The third proportional to 12.42 and 26.82 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.42 : 26.82 = 26.82 : x
  2. Step 2: Convert to fraction form
    12.42/26.82 = 26.82/x
  3. Step 3: Cross multiply
    12.42x = 26.82 × 26.82
  4. Step 4: Simplify right side
    12.42x = 719.07
  5. Step 5: Solve for x
    x = 719.07/12.42
  6. Step 6: Final answer
    x = 57.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.