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Finding the Third Proportional to 82,161 and 168,214

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Solution

The third proportional to 82,161 and 168,214 is: 344,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,161 : 168,214 = 168,214 : x
  2. Step 2: Convert to fraction form
    82,161/168,214 = 168,214/x
  3. Step 3: Cross multiply
    82,161x = 168,214 × 168,214
  4. Step 4: Simplify right side
    82,161x = 28,295,949,796
  5. Step 5: Solve for x
    x = 28,295,949,796/82,161
  6. Step 6: Final answer
    x = 344,396.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.