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Finding the Third Proportional to 199,991 and 281,274

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Solution

The third proportional to 199,991 and 281,274 is: 395,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,991 : 281,274 = 281,274 : x
  2. Step 2: Convert to fraction form
    199,991/281,274 = 281,274/x
  3. Step 3: Cross multiply
    199,991x = 281,274 × 281,274
  4. Step 4: Simplify right side
    199,991x = 79,115,063,076
  5. Step 5: Solve for x
    x = 79,115,063,076/199,991
  6. Step 6: Final answer
    x = 395,593.12

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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.