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Finding the Third Proportional to 99,503 and 204,845

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Solution

The third proportional to 99,503 and 204,845 is: 421,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,503 : 204,845 = 204,845 : x
  2. Step 2: Convert to fraction form
    99,503/204,845 = 204,845/x
  3. Step 3: Cross multiply
    99,503x = 204,845 × 204,845
  4. Step 4: Simplify right side
    99,503x = 41,961,474,025
  5. Step 5: Solve for x
    x = 41,961,474,025/99,503
  6. Step 6: Final answer
    x = 421,710.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.