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Finding the Third Proportional to 37,171 and 81,722

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Solution

The third proportional to 37,171 and 81,722 is: 179,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,171 : 81,722 = 81,722 : x
  2. Step 2: Convert to fraction form
    37,171/81,722 = 81,722/x
  3. Step 3: Cross multiply
    37,171x = 81,722 × 81,722
  4. Step 4: Simplify right side
    37,171x = 6,678,485,284
  5. Step 5: Solve for x
    x = 6,678,485,284/37,171
  6. Step 6: Final answer
    x = 179,669.24

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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.