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Finding the Third Proportional to 8.50 and 18.16

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Solution

The third proportional to 8.50 and 18.16 is: 38.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.50 : 18.16 = 18.16 : x
  2. Step 2: Convert to fraction form
    8.50/18.16 = 18.16/x
  3. Step 3: Cross multiply
    8.50x = 18.16 × 18.16
  4. Step 4: Simplify right side
    8.50x = 329.65
  5. Step 5: Solve for x
    x = 329.65/8.50
  6. Step 6: Final answer
    x = 38.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.