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Finding the Third Proportional to 303,999 and 677,901

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Solution

The third proportional to 303,999 and 677,901 is: 1,511,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,999 : 677,901 = 677,901 : x
  2. Step 2: Convert to fraction form
    303,999/677,901 = 677,901/x
  3. Step 3: Cross multiply
    303,999x = 677,901 × 677,901
  4. Step 4: Simplify right side
    303,999x = 459,549,765,801
  5. Step 5: Solve for x
    x = 459,549,765,801/303,999
  6. Step 6: Final answer
    x = 1,511,681.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.