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Finding the Third Proportional to 91,956 and 198,429

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Solution

The third proportional to 91,956 and 198,429 is: 428,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,956 : 198,429 = 198,429 : x
  2. Step 2: Convert to fraction form
    91,956/198,429 = 198,429/x
  3. Step 3: Cross multiply
    91,956x = 198,429 × 198,429
  4. Step 4: Simplify right side
    91,956x = 39,374,068,041
  5. Step 5: Solve for x
    x = 39,374,068,041/91,956
  6. Step 6: Final answer
    x = 428,183.78

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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.