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Finding the Third Proportional to 90,330 and 198,636

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Solution

The third proportional to 90,330 and 198,636 is: 436,801.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,330 : 198,636 = 198,636 : x
  2. Step 2: Convert to fraction form
    90,330/198,636 = 198,636/x
  3. Step 3: Cross multiply
    90,330x = 198,636 × 198,636
  4. Step 4: Simplify right side
    90,330x = 39,456,260,496
  5. Step 5: Solve for x
    x = 39,456,260,496/90,330
  6. Step 6: Final answer
    x = 436,801.29

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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.