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Finding the Third Proportional to 18.21 and 38.57

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Solution

The third proportional to 18.21 and 38.57 is: 81.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.21 : 38.57 = 38.57 : x
  2. Step 2: Convert to fraction form
    18.21/38.57 = 38.57/x
  3. Step 3: Cross multiply
    18.21x = 38.57 × 38.57
  4. Step 4: Simplify right side
    18.21x = 1,487.37
  5. Step 5: Solve for x
    x = 1,487.37/18.21
  6. Step 6: Final answer
    x = 81.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.