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Finding the Third Proportional to 90,717 and 196,965

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Solution

The third proportional to 90,717 and 196,965 is: 427,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,717 : 196,965 = 196,965 : x
  2. Step 2: Convert to fraction form
    90,717/196,965 = 196,965/x
  3. Step 3: Cross multiply
    90,717x = 196,965 × 196,965
  4. Step 4: Simplify right side
    90,717x = 38,795,211,225
  5. Step 5: Solve for x
    x = 38,795,211,225/90,717
  6. Step 6: Final answer
    x = 427,650.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.