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Finding the Third Proportional to 203,488 and 440,872

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Solution

The third proportional to 203,488 and 440,872 is: 955,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488 : 440,872 = 440,872 : x
  2. Step 2: Convert to fraction form
    203,488/440,872 = 440,872/x
  3. Step 3: Cross multiply
    203,488x = 440,872 × 440,872
  4. Step 4: Simplify right side
    203,488x = 194,368,120,384
  5. Step 5: Solve for x
    x = 194,368,120,384/203,488
  6. Step 6: Final answer
    x = 955,182.22

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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.