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Finding the Third Proportional to 38,285 and 81,116

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Solution

The third proportional to 38,285 and 81,116 is: 171,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,285 : 81,116 = 81,116 : x
  2. Step 2: Convert to fraction form
    38,285/81,116 = 81,116/x
  3. Step 3: Cross multiply
    38,285x = 81,116 × 81,116
  4. Step 4: Simplify right side
    38,285x = 6,579,805,456
  5. Step 5: Solve for x
    x = 6,579,805,456/38,285
  6. Step 6: Final answer
    x = 171,863.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.