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Finding the Third Proportional to 203,940 and 299,907

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Solution

The third proportional to 203,940 and 299,907 is: 441,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,940 : 299,907 = 299,907 : x
  2. Step 2: Convert to fraction form
    203,940/299,907 = 299,907/x
  3. Step 3: Cross multiply
    203,940x = 299,907 × 299,907
  4. Step 4: Simplify right side
    203,940x = 89,944,208,649
  5. Step 5: Solve for x
    x = 89,944,208,649/203,940
  6. Step 6: Final answer
    x = 441,032.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.