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Finding the Third Proportional to 99,162 and 203,605

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Solution

The third proportional to 99,162 and 203,605 is: 418,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,162 : 203,605 = 203,605 : x
  2. Step 2: Convert to fraction form
    99,162/203,605 = 203,605/x
  3. Step 3: Cross multiply
    99,162x = 203,605 × 203,605
  4. Step 4: Simplify right side
    99,162x = 41,454,996,025
  5. Step 5: Solve for x
    x = 41,454,996,025/99,162
  6. Step 6: Final answer
    x = 418,053.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.