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Finding the Third Proportional to 323,910 and 668,568

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Solution

The third proportional to 323,910 and 668,568 is: 1,379,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,910 : 668,568 = 668,568 : x
  2. Step 2: Convert to fraction form
    323,910/668,568 = 668,568/x
  3. Step 3: Cross multiply
    323,910x = 668,568 × 668,568
  4. Step 4: Simplify right side
    323,910x = 446,983,170,624
  5. Step 5: Solve for x
    x = 446,983,170,624/323,910
  6. Step 6: Final answer
    x = 1,379,961.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.