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Finding the Third Proportional to 327,040 and 667,840

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Solution

The third proportional to 327,040 and 667,840 is: 1,363,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,040 : 667,840 = 667,840 : x
  2. Step 2: Convert to fraction form
    327,040/667,840 = 667,840/x
  3. Step 3: Cross multiply
    327,040x = 667,840 × 667,840
  4. Step 4: Simplify right side
    327,040x = 446,010,265,600
  5. Step 5: Solve for x
    x = 446,010,265,600/327,040
  6. Step 6: Final answer
    x = 1,363,778.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.