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Finding the Third Proportional to 99,517 and 210,266

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Solution

The third proportional to 99,517 and 210,266 is: 444,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,517 : 210,266 = 210,266 : x
  2. Step 2: Convert to fraction form
    99,517/210,266 = 210,266/x
  3. Step 3: Cross multiply
    99,517x = 210,266 × 210,266
  4. Step 4: Simplify right side
    99,517x = 44,211,790,756
  5. Step 5: Solve for x
    x = 44,211,790,756/99,517
  6. Step 6: Final answer
    x = 444,263.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.