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Finding the Third Proportional to 39.47 and 83.91

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Solution

The third proportional to 39.47 and 83.91 is: 178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.47 : 83.91 = 83.91 : x
  2. Step 2: Convert to fraction form
    39.47/83.91 = 83.91/x
  3. Step 3: Cross multiply
    39.47x = 83.91 × 83.91
  4. Step 4: Simplify right side
    39.47x = 7,040.26
  5. Step 5: Solve for x
    x = 7,040.26/39.47
  6. Step 6: Final answer
    x = 178.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.