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Finding the Third Proportional to 203,810 and 442,647

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Solution

The third proportional to 203,810 and 442,647 is: 961,367.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,810 : 442,647 = 442,647 : x
  2. Step 2: Convert to fraction form
    203,810/442,647 = 442,647/x
  3. Step 3: Cross multiply
    203,810x = 442,647 × 442,647
  4. Step 4: Simplify right side
    203,810x = 195,936,366,609
  5. Step 5: Solve for x
    x = 195,936,366,609/203,810
  6. Step 6: Final answer
    x = 961,367.78

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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.