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Finding the Third Proportional to 169,869 and 356,181

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Solution

The third proportional to 169,869 and 356,181 is: 746,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,869 : 356,181 = 356,181 : x
  2. Step 2: Convert to fraction form
    169,869/356,181 = 356,181/x
  3. Step 3: Cross multiply
    169,869x = 356,181 × 356,181
  4. Step 4: Simplify right side
    169,869x = 126,864,904,761
  5. Step 5: Solve for x
    x = 126,864,904,761/169,869
  6. Step 6: Final answer
    x = 746,839.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.