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Finding the Third Proportional to 327,458 and 723,740

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Solution

The third proportional to 327,458 and 723,740 is: 1,599,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,458 : 723,740 = 723,740 : x
  2. Step 2: Convert to fraction form
    327,458/723,740 = 723,740/x
  3. Step 3: Cross multiply
    327,458x = 723,740 × 723,740
  4. Step 4: Simplify right side
    327,458x = 523,799,587,600
  5. Step 5: Solve for x
    x = 523,799,587,600/327,458
  6. Step 6: Final answer
    x = 1,599,593.19

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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.