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Finding the Third Proportional to 91,947 and 198,408

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Solution

The third proportional to 91,947 and 198,408 is: 428,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,947 : 198,408 = 198,408 : x
  2. Step 2: Convert to fraction form
    91,947/198,408 = 198,408/x
  3. Step 3: Cross multiply
    91,947x = 198,408 × 198,408
  4. Step 4: Simplify right side
    91,947x = 39,365,734,464
  5. Step 5: Solve for x
    x = 39,365,734,464/91,947
  6. Step 6: Final answer
    x = 428,135.06

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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.