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Finding the Third Proportional to 39.25 and 85.44

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Solution

The third proportional to 39.25 and 85.44 is: 185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.25 : 85.44 = 85.44 : x
  2. Step 2: Convert to fraction form
    39.25/85.44 = 85.44/x
  3. Step 3: Cross multiply
    39.25x = 85.44 × 85.44
  4. Step 4: Simplify right side
    39.25x = 7,299.57
  5. Step 5: Solve for x
    x = 7,299.57/39.25
  6. Step 6: Final answer
    x = 185.98

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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.