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Finding the Third Proportional to 8.81 and 18.60

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Solution

The third proportional to 8.81 and 18.60 is: 39.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.81 : 18.60 = 18.60 : x
  2. Step 2: Convert to fraction form
    8.81/18.60 = 18.60/x
  3. Step 3: Cross multiply
    8.81x = 18.60 × 18.60
  4. Step 4: Simplify right side
    8.81x = 345.91
  5. Step 5: Solve for x
    x = 345.91/8.81
  6. Step 6: Final answer
    x = 39.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.