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Finding the Third Proportional to 198,436 and 282,894

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Solution

The third proportional to 198,436 and 282,894 is: 403,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,436 : 282,894 = 282,894 : x
  2. Step 2: Convert to fraction form
    198,436/282,894 = 282,894/x
  3. Step 3: Cross multiply
    198,436x = 282,894 × 282,894
  4. Step 4: Simplify right side
    198,436x = 80,029,015,236
  5. Step 5: Solve for x
    x = 80,029,015,236/198,436
  6. Step 6: Final answer
    x = 403,298.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.