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Finding the Third Proportional to 8.18 and 18.80

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Solution

The third proportional to 8.18 and 18.80 is: 43.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.18 : 18.80 = 18.80 : x
  2. Step 2: Convert to fraction form
    8.18/18.80 = 18.80/x
  3. Step 3: Cross multiply
    8.18x = 18.80 × 18.80
  4. Step 4: Simplify right side
    8.18x = 353.32
  5. Step 5: Solve for x
    x = 353.32/8.18
  6. Step 6: Final answer
    x = 43.20

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.