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Finding the Third Proportional to 204,279 and 448,868

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Solution

The third proportional to 204,279 and 448,868 is: 986,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,279 : 448,868 = 448,868 : x
  2. Step 2: Convert to fraction form
    204,279/448,868 = 448,868/x
  3. Step 3: Cross multiply
    204,279x = 448,868 × 448,868
  4. Step 4: Simplify right side
    204,279x = 201,482,481,424
  5. Step 5: Solve for x
    x = 201,482,481,424/204,279
  6. Step 6: Final answer
    x = 986,310.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.