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Finding the Third Proportional to 5.42 and 12.07

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Solution

The third proportional to 5.42 and 12.07 is: 26.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.42 : 12.07 = 12.07 : x
  2. Step 2: Convert to fraction form
    5.42/12.07 = 12.07/x
  3. Step 3: Cross multiply
    5.42x = 12.07 × 12.07
  4. Step 4: Simplify right side
    5.42x = 145.62
  5. Step 5: Solve for x
    x = 145.62/5.42
  6. Step 6: Final answer
    x = 26.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.