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Finding the Third Proportional to 78,793 and 164,234

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Solution

The third proportional to 78,793 and 164,234 is: 342,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,793 : 164,234 = 164,234 : x
  2. Step 2: Convert to fraction form
    78,793/164,234 = 164,234/x
  3. Step 3: Cross multiply
    78,793x = 164,234 × 164,234
  4. Step 4: Simplify right side
    78,793x = 26,972,806,756
  5. Step 5: Solve for x
    x = 26,972,806,756/78,793
  6. Step 6: Final answer
    x = 342,324.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.