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Finding the Third Proportional to 21.42 and 23.96

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Solution

The third proportional to 21.42 and 23.96 is: 26.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 23.96 = 23.96 : x
  2. Step 2: Convert to fraction form
    21.42/23.96 = 23.96/x
  3. Step 3: Cross multiply
    21.42x = 23.96 × 23.96
  4. Step 4: Simplify right side
    21.42x = 573.90
  5. Step 5: Solve for x
    x = 573.90/21.42
  6. Step 6: Final answer
    x = 26.79

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.