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Finding the Third Proportional to 303,836 and 664,939

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Solution

The third proportional to 303,836 and 664,939 is: 1,455,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,836 : 664,939 = 664,939 : x
  2. Step 2: Convert to fraction form
    303,836/664,939 = 664,939/x
  3. Step 3: Cross multiply
    303,836x = 664,939 × 664,939
  4. Step 4: Simplify right side
    303,836x = 442,143,873,721
  5. Step 5: Solve for x
    x = 442,143,873,721/303,836
  6. Step 6: Final answer
    x = 1,455,205.68

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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.