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Finding the Third Proportional to 198,956 and 281,248

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Solution

The third proportional to 198,956 and 281,248 is: 397,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,956 : 281,248 = 281,248 : x
  2. Step 2: Convert to fraction form
    198,956/281,248 = 281,248/x
  3. Step 3: Cross multiply
    198,956x = 281,248 × 281,248
  4. Step 4: Simplify right side
    198,956x = 79,100,437,504
  5. Step 5: Solve for x
    x = 79,100,437,504/198,956
  6. Step 6: Final answer
    x = 397,577.54

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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.