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Finding the Third Proportional to 203,940 and 440,680

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Solution

The third proportional to 203,940 and 440,680 is: 952,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940 : 440,680 = 440,680 : x
  2. Step 2: Convert to fraction form
    203,940/440,680 = 440,680/x
  3. Step 3: Cross multiply
    203,940x = 440,680 × 440,680
  4. Step 4: Simplify right side
    203,940x = 194,198,862,400
  5. Step 5: Solve for x
    x = 194,198,862,400/203,940
  6. Step 6: Final answer
    x = 952,235.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.