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Finding the Third Proportional to 18.09 and 38.06

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Solution

The third proportional to 18.09 and 38.06 is: 80.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.09 : 38.06 = 38.06 : x
  2. Step 2: Convert to fraction form
    18.09/38.06 = 38.06/x
  3. Step 3: Cross multiply
    18.09x = 38.06 × 38.06
  4. Step 4: Simplify right side
    18.09x = 1,448.75
  5. Step 5: Solve for x
    x = 1,448.75/18.09
  6. Step 6: Final answer
    x = 80.07

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.