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Finding the Third Proportional to 37,161 and 81,669

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Solution

The third proportional to 37,161 and 81,669 is: 179,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,161 : 81,669 = 81,669 : x
  2. Step 2: Convert to fraction form
    37,161/81,669 = 81,669/x
  3. Step 3: Cross multiply
    37,161x = 81,669 × 81,669
  4. Step 4: Simplify right side
    37,161x = 6,669,825,561
  5. Step 5: Solve for x
    x = 6,669,825,561/37,161
  6. Step 6: Final answer
    x = 179,484.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.