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Finding the Third Proportional to 91,868 and 198,424

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Solution

The third proportional to 91,868 and 198,424 is: 428,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,868 : 198,424 = 198,424 : x
  2. Step 2: Convert to fraction form
    91,868/198,424 = 198,424/x
  3. Step 3: Cross multiply
    91,868x = 198,424 × 198,424
  4. Step 4: Simplify right side
    91,868x = 39,372,083,776
  5. Step 5: Solve for x
    x = 39,372,083,776/91,868
  6. Step 6: Final answer
    x = 428,572.34

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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.