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Finding the Third Proportional to 83,619 and 180,198

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Solution

The third proportional to 83,619 and 180,198 is: 388,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,619 : 180,198 = 180,198 : x
  2. Step 2: Convert to fraction form
    83,619/180,198 = 180,198/x
  3. Step 3: Cross multiply
    83,619x = 180,198 × 180,198
  4. Step 4: Simplify right side
    83,619x = 32,471,319,204
  5. Step 5: Solve for x
    x = 32,471,319,204/83,619
  6. Step 6: Final answer
    x = 388,324.65

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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.