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Finding the Third Proportional to 39.47 and 85.36

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Solution

The third proportional to 39.47 and 85.36 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.47 : 85.36 = 85.36 : x
  2. Step 2: Convert to fraction form
    39.47/85.36 = 85.36/x
  3. Step 3: Cross multiply
    39.47x = 85.36 × 85.36
  4. Step 4: Simplify right side
    39.47x = 7,286.22
  5. Step 5: Solve for x
    x = 7,286.22/39.47
  6. Step 6: Final answer
    x = 184.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.