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Finding the Third Proportional to 18.04 and 38.07

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Solution

The third proportional to 18.04 and 38.07 is: 80.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.04 : 38.07 = 38.07 : x
  2. Step 2: Convert to fraction form
    18.04/38.07 = 38.07/x
  3. Step 3: Cross multiply
    18.04x = 38.07 × 38.07
  4. Step 4: Simplify right side
    18.04x = 1,449.65
  5. Step 5: Solve for x
    x = 1,449.65/18.04
  6. Step 6: Final answer
    x = 80.38

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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.