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Finding the Third Proportional to 209,326 and 303,775

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Solution

The third proportional to 209,326 and 303,775 is: 440,839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,326 : 303,775 = 303,775 : x
  2. Step 2: Convert to fraction form
    209,326/303,775 = 303,775/x
  3. Step 3: Cross multiply
    209,326x = 303,775 × 303,775
  4. Step 4: Simplify right side
    209,326x = 92,279,250,625
  5. Step 5: Solve for x
    x = 92,279,250,625/209,326
  6. Step 6: Final answer
    x = 440,839.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.