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Finding the Third Proportional to 198,477 and 436,320

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Solution

The third proportional to 198,477 and 436,320 is: 959,179.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,477 : 436,320 = 436,320 : x
  2. Step 2: Convert to fraction form
    198,477/436,320 = 436,320/x
  3. Step 3: Cross multiply
    198,477x = 436,320 × 436,320
  4. Step 4: Simplify right side
    198,477x = 190,375,142,400
  5. Step 5: Solve for x
    x = 190,375,142,400/198,477
  6. Step 6: Final answer
    x = 959,179.87

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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.