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Finding the Third Proportional to 327,360 and 687,744

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Solution

The third proportional to 327,360 and 687,744 is: 1,444,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,360 : 687,744 = 687,744 : x
  2. Step 2: Convert to fraction form
    327,360/687,744 = 687,744/x
  3. Step 3: Cross multiply
    327,360x = 687,744 × 687,744
  4. Step 4: Simplify right side
    327,360x = 472,991,809,536
  5. Step 5: Solve for x
    x = 472,991,809,536/327,360
  6. Step 6: Final answer
    x = 1,444,867.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.