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Finding the Third Proportional to 82,839 and 180,177

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Solution

The third proportional to 82,839 and 180,177 is: 391,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,839 : 180,177 = 180,177 : x
  2. Step 2: Convert to fraction form
    82,839/180,177 = 180,177/x
  3. Step 3: Cross multiply
    82,839x = 180,177 × 180,177
  4. Step 4: Simplify right side
    82,839x = 32,463,751,329
  5. Step 5: Solve for x
    x = 32,463,751,329/82,839
  6. Step 6: Final answer
    x = 391,889.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.