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Finding the Third Proportional to 320,939 and 677,691

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Solution

The third proportional to 320,939 and 677,691 is: 1,431,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,939 : 677,691 = 677,691 : x
  2. Step 2: Convert to fraction form
    320,939/677,691 = 677,691/x
  3. Step 3: Cross multiply
    320,939x = 677,691 × 677,691
  4. Step 4: Simplify right side
    320,939x = 459,265,091,481
  5. Step 5: Solve for x
    x = 459,265,091,481/320,939
  6. Step 6: Final answer
    x = 1,431,004.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.