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Finding the Third Proportional to 11.06 and 21.42

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Solution

The third proportional to 11.06 and 21.42 is: 41.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.06 : 21.42 = 21.42 : x
  2. Step 2: Convert to fraction form
    11.06/21.42 = 21.42/x
  3. Step 3: Cross multiply
    11.06x = 21.42 × 21.42
  4. Step 4: Simplify right side
    11.06x = 458.90
  5. Step 5: Solve for x
    x = 458.90/11.06
  6. Step 6: Final answer
    x = 41.48

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.