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Finding the Third Proportional to 201,078 and 418,694

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Solution

The third proportional to 201,078 and 418,694 is: 871,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,078 : 418,694 = 418,694 : x
  2. Step 2: Convert to fraction form
    201,078/418,694 = 418,694/x
  3. Step 3: Cross multiply
    201,078x = 418,694 × 418,694
  4. Step 4: Simplify right side
    201,078x = 175,304,665,636
  5. Step 5: Solve for x
    x = 175,304,665,636/201,078
  6. Step 6: Final answer
    x = 871,824.20

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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.