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Finding the Third Proportional to 10.81 and 29.73

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Solution

The third proportional to 10.81 and 29.73 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.81 : 29.73 = 29.73 : x
  2. Step 2: Convert to fraction form
    10.81/29.73 = 29.73/x
  3. Step 3: Cross multiply
    10.81x = 29.73 × 29.73
  4. Step 4: Simplify right side
    10.81x = 884.08
  5. Step 5: Solve for x
    x = 884.08/10.81
  6. Step 6: Final answer
    x = 81.77

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.