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Finding the Third Proportional to 106,879 and 169,231

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Solution

The third proportional to 106,879 and 169,231 is: 267,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,879 : 169,231 = 169,231 : x
  2. Step 2: Convert to fraction form
    106,879/169,231 = 169,231/x
  3. Step 3: Cross multiply
    106,879x = 169,231 × 169,231
  4. Step 4: Simplify right side
    106,879x = 28,639,131,361
  5. Step 5: Solve for x
    x = 28,639,131,361/106,879
  6. Step 6: Final answer
    x = 267,958.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.