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Finding the Third Proportional to 37,890 and 81,812

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Solution

The third proportional to 37,890 and 81,812 is: 176,648.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890 : 81,812 = 81,812 : x
  2. Step 2: Convert to fraction form
    37,890/81,812 = 81,812/x
  3. Step 3: Cross multiply
    37,890x = 81,812 × 81,812
  4. Step 4: Simplify right side
    37,890x = 6,693,203,344
  5. Step 5: Solve for x
    x = 6,693,203,344/37,890
  6. Step 6: Final answer
    x = 176,648.28

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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.