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Finding the Third Proportional to 39.27 and 85.67

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Solution

The third proportional to 39.27 and 85.67 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.27 : 85.67 = 85.67 : x
  2. Step 2: Convert to fraction form
    39.27/85.67 = 85.67/x
  3. Step 3: Cross multiply
    39.27x = 85.67 × 85.67
  4. Step 4: Simplify right side
    39.27x = 7,338.83
  5. Step 5: Solve for x
    x = 7,338.83/39.27
  6. Step 6: Final answer
    x = 186.86

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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.