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Finding the Third Proportional to 10.81 and 18.02

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Solution

The third proportional to 10.81 and 18.02 is: 30.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.81 : 18.02 = 18.02 : x
  2. Step 2: Convert to fraction form
    10.81/18.02 = 18.02/x
  3. Step 3: Cross multiply
    10.81x = 18.02 × 18.02
  4. Step 4: Simplify right side
    10.81x = 324.73
  5. Step 5: Solve for x
    x = 324.73/10.81
  6. Step 6: Final answer
    x = 30.03

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.