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Finding the Third Proportional to 204,900 and 419,916

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Solution

The third proportional to 204,900 and 419,916 is: 860,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,900 : 419,916 = 419,916 : x
  2. Step 2: Convert to fraction form
    204,900/419,916 = 419,916/x
  3. Step 3: Cross multiply
    204,900x = 419,916 × 419,916
  4. Step 4: Simplify right side
    204,900x = 176,329,447,056
  5. Step 5: Solve for x
    x = 176,329,447,056/204,900
  6. Step 6: Final answer
    x = 860,563.43

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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.