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Finding the Third Proportional to 200,286 and 281,718

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Solution

The third proportional to 200,286 and 281,718 is: 396,258.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,286 : 281,718 = 281,718 : x
  2. Step 2: Convert to fraction form
    200,286/281,718 = 281,718/x
  3. Step 3: Cross multiply
    200,286x = 281,718 × 281,718
  4. Step 4: Simplify right side
    200,286x = 79,365,031,524
  5. Step 5: Solve for x
    x = 79,365,031,524/200,286
  6. Step 6: Final answer
    x = 396,258.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.