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Finding the Third Proportional to 198,960 and 281,254

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Solution

The third proportional to 198,960 and 281,254 is: 397,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,960 : 281,254 = 281,254 : x
  2. Step 2: Convert to fraction form
    198,960/281,254 = 281,254/x
  3. Step 3: Cross multiply
    198,960x = 281,254 × 281,254
  4. Step 4: Simplify right side
    198,960x = 79,103,812,516
  5. Step 5: Solve for x
    x = 79,103,812,516/198,960
  6. Step 6: Final answer
    x = 397,586.51

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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.