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Finding the Third Proportional to 203,286 and 445,830

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Solution

The third proportional to 203,286 and 445,830 is: 977,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,286 : 445,830 = 445,830 : x
  2. Step 2: Convert to fraction form
    203,286/445,830 = 445,830/x
  3. Step 3: Cross multiply
    203,286x = 445,830 × 445,830
  4. Step 4: Simplify right side
    203,286x = 198,764,388,900
  5. Step 5: Solve for x
    x = 198,764,388,900/203,286
  6. Step 6: Final answer
    x = 977,757.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.