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Finding the Third Proportional to 198,436 and 436,380

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Solution

The third proportional to 198,436 and 436,380 is: 959,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,436 : 436,380 = 436,380 : x
  2. Step 2: Convert to fraction form
    198,436/436,380 = 436,380/x
  3. Step 3: Cross multiply
    198,436x = 436,380 × 436,380
  4. Step 4: Simplify right side
    198,436x = 190,427,504,400
  5. Step 5: Solve for x
    x = 190,427,504,400/198,436
  6. Step 6: Final answer
    x = 959,641.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.