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Finding the Third Proportional to 203,931 and 442,899

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Solution

The third proportional to 203,931 and 442,899 is: 961,891.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,931 : 442,899 = 442,899 : x
  2. Step 2: Convert to fraction form
    203,931/442,899 = 442,899/x
  3. Step 3: Cross multiply
    203,931x = 442,899 × 442,899
  4. Step 4: Simplify right side
    203,931x = 196,159,524,201
  5. Step 5: Solve for x
    x = 196,159,524,201/203,931
  6. Step 6: Final answer
    x = 961,891.64

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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.