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Finding the Third Proportional to 18.19 and 39.71

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Solution

The third proportional to 18.19 and 39.71 is: 86.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.19 : 39.71 = 39.71 : x
  2. Step 2: Convert to fraction form
    18.19/39.71 = 39.71/x
  3. Step 3: Cross multiply
    18.19x = 39.71 × 39.71
  4. Step 4: Simplify right side
    18.19x = 1,576.80
  5. Step 5: Solve for x
    x = 1,576.80/18.19
  6. Step 6: Final answer
    x = 86.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.