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Finding the Third Proportional to 90,324 and 198,624

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Solution

The third proportional to 90,324 and 198,624 is: 436,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,324 : 198,624 = 198,624 : x
  2. Step 2: Convert to fraction form
    90,324/198,624 = 198,624/x
  3. Step 3: Cross multiply
    90,324x = 198,624 × 198,624
  4. Step 4: Simplify right side
    90,324x = 39,451,493,376
  5. Step 5: Solve for x
    x = 39,451,493,376/90,324
  6. Step 6: Final answer
    x = 436,777.53

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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.