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Finding the Third Proportional to 204,282 and 448,874

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Solution

The third proportional to 204,282 and 448,874 is: 986,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,282 : 448,874 = 448,874 : x
  2. Step 2: Convert to fraction form
    204,282/448,874 = 448,874/x
  3. Step 3: Cross multiply
    204,282x = 448,874 × 448,874
  4. Step 4: Simplify right side
    204,282x = 201,487,867,876
  5. Step 5: Solve for x
    x = 201,487,867,876/204,282
  6. Step 6: Final answer
    x = 986,322.18

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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.