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Finding the Third Proportional to 10.81 and 14.42

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Solution

The third proportional to 10.81 and 14.42 is: 19.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.81 : 14.42 = 14.42 : x
  2. Step 2: Convert to fraction form
    10.81/14.42 = 14.42/x
  3. Step 3: Cross multiply
    10.81x = 14.42 × 14.42
  4. Step 4: Simplify right side
    10.81x = 207.83
  5. Step 5: Solve for x
    x = 207.83/10.81
  6. Step 6: Final answer
    x = 19.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.