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Finding the Third Proportional to 204,520 and 418,954

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Solution

The third proportional to 204,520 and 418,954 is: 858,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,520 : 418,954 = 418,954 : x
  2. Step 2: Convert to fraction form
    204,520/418,954 = 418,954/x
  3. Step 3: Cross multiply
    204,520x = 418,954 × 418,954
  4. Step 4: Simplify right side
    204,520x = 175,522,454,116
  5. Step 5: Solve for x
    x = 175,522,454,116/204,520
  6. Step 6: Final answer
    x = 858,216.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.