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Finding the Third Proportional to 327,454 and 723,728

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Solution

The third proportional to 327,454 and 723,728 is: 1,599,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,454 : 723,728 = 723,728 : x
  2. Step 2: Convert to fraction form
    327,454/723,728 = 723,728/x
  3. Step 3: Cross multiply
    327,454x = 723,728 × 723,728
  4. Step 4: Simplify right side
    327,454x = 523,782,217,984
  5. Step 5: Solve for x
    x = 523,782,217,984/327,454
  6. Step 6: Final answer
    x = 1,599,559.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.