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Finding the Third Proportional to 12.42 and 27.62

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Solution

The third proportional to 12.42 and 27.62 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.42 : 27.62 = 27.62 : x
  2. Step 2: Convert to fraction form
    12.42/27.62 = 27.62/x
  3. Step 3: Cross multiply
    12.42x = 27.62 × 27.62
  4. Step 4: Simplify right side
    12.42x = 762.81
  5. Step 5: Solve for x
    x = 762.81/12.42
  6. Step 6: Final answer
    x = 61.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.