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Finding the Third Proportional to 303,500 and 664,821

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Solution

The third proportional to 303,500 and 664,821 is: 1,456,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,500 : 664,821 = 664,821 : x
  2. Step 2: Convert to fraction form
    303,500/664,821 = 664,821/x
  3. Step 3: Cross multiply
    303,500x = 664,821 × 664,821
  4. Step 4: Simplify right side
    303,500x = 441,986,962,041
  5. Step 5: Solve for x
    x = 441,986,962,041/303,500
  6. Step 6: Final answer
    x = 1,456,299.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.