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Finding the Third Proportional to 8.18 and 17.55

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Solution

The third proportional to 8.18 and 17.55 is: 37.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.18 : 17.55 = 17.55 : x
  2. Step 2: Convert to fraction form
    8.18/17.55 = 17.55/x
  3. Step 3: Cross multiply
    8.18x = 17.55 × 17.55
  4. Step 4: Simplify right side
    8.18x = 308.17
  5. Step 5: Solve for x
    x = 308.17/8.18
  6. Step 6: Final answer
    x = 37.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.