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Finding the Third Proportional to 91,880 and 198,448

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Solution

The third proportional to 91,880 and 198,448 is: 428,620.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,880 : 198,448 = 198,448 : x
  2. Step 2: Convert to fraction form
    91,880/198,448 = 198,448/x
  3. Step 3: Cross multiply
    91,880x = 198,448 × 198,448
  4. Step 4: Simplify right side
    91,880x = 39,381,608,704
  5. Step 5: Solve for x
    x = 39,381,608,704/91,880
  6. Step 6: Final answer
    x = 428,620.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.