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Finding the Third Proportional to 91,996 and 198,508

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Solution

The third proportional to 91,996 and 198,508 is: 428,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,996 : 198,508 = 198,508 : x
  2. Step 2: Convert to fraction form
    91,996/198,508 = 198,508/x
  3. Step 3: Cross multiply
    91,996x = 198,508 × 198,508
  4. Step 4: Simplify right side
    91,996x = 39,405,426,064
  5. Step 5: Solve for x
    x = 39,405,426,064/91,996
  6. Step 6: Final answer
    x = 428,338.47

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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.