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Finding the Third Proportional to 200,869 and 418,381

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Solution

The third proportional to 200,869 and 418,381 is: 871,426.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869 : 418,381 = 418,381 : x
  2. Step 2: Convert to fraction form
    200,869/418,381 = 418,381/x
  3. Step 3: Cross multiply
    200,869x = 418,381 × 418,381
  4. Step 4: Simplify right side
    200,869x = 175,042,661,161
  5. Step 5: Solve for x
    x = 175,042,661,161/200,869
  6. Step 6: Final answer
    x = 871,426.96

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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.