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Finding the Third Proportional to 39,472 and 81,176

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Solution

The third proportional to 39,472 and 81,176 is: 166,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472 : 81,176 = 81,176 : x
  2. Step 2: Convert to fraction form
    39,472/81,176 = 81,176/x
  3. Step 3: Cross multiply
    39,472x = 81,176 × 81,176
  4. Step 4: Simplify right side
    39,472x = 6,589,542,976
  5. Step 5: Solve for x
    x = 6,589,542,976/39,472
  6. Step 6: Final answer
    x = 166,942.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.