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Finding the Third Proportional to 81,619 and 173,034

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Solution

The third proportional to 81,619 and 173,034 is: 366,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,619 : 173,034 = 173,034 : x
  2. Step 2: Convert to fraction form
    81,619/173,034 = 173,034/x
  3. Step 3: Cross multiply
    81,619x = 173,034 × 173,034
  4. Step 4: Simplify right side
    81,619x = 29,940,765,156
  5. Step 5: Solve for x
    x = 29,940,765,156/81,619
  6. Step 6: Final answer
    x = 366,835.73

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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.