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Finding the Third Proportional to 198,479 and 436,324

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Solution

The third proportional to 198,479 and 436,324 is: 959,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,479 : 436,324 = 436,324 : x
  2. Step 2: Convert to fraction form
    198,479/436,324 = 436,324/x
  3. Step 3: Cross multiply
    198,479x = 436,324 × 436,324
  4. Step 4: Simplify right side
    198,479x = 190,378,632,976
  5. Step 5: Solve for x
    x = 190,378,632,976/198,479
  6. Step 6: Final answer
    x = 959,187.79

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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.