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Finding the Third Proportional to 204,517 and 418,946

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Solution

The third proportional to 204,517 and 418,946 is: 858,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,517 : 418,946 = 418,946 : x
  2. Step 2: Convert to fraction form
    204,517/418,946 = 418,946/x
  3. Step 3: Cross multiply
    204,517x = 418,946 × 418,946
  4. Step 4: Simplify right side
    204,517x = 175,515,750,916
  5. Step 5: Solve for x
    x = 175,515,750,916/204,517
  6. Step 6: Final answer
    x = 858,196.39

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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.