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Finding the Third Proportional to 37,662 and 81,161

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Solution

The third proportional to 37,662 and 81,161 is: 174,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662 : 81,161 = 81,161 : x
  2. Step 2: Convert to fraction form
    37,662/81,161 = 81,161/x
  3. Step 3: Cross multiply
    37,662x = 81,161 × 81,161
  4. Step 4: Simplify right side
    37,662x = 6,587,107,921
  5. Step 5: Solve for x
    x = 6,587,107,921/37,662
  6. Step 6: Final answer
    x = 174,900.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.