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Finding the Third Proportional to 18.35 and 38.18

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Solution

The third proportional to 18.35 and 38.18 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.35 : 38.18 = 38.18 : x
  2. Step 2: Convert to fraction form
    18.35/38.18 = 38.18/x
  3. Step 3: Cross multiply
    18.35x = 38.18 × 38.18
  4. Step 4: Simplify right side
    18.35x = 1,457.69
  5. Step 5: Solve for x
    x = 1,457.69/18.35
  6. Step 6: Final answer
    x = 79.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.