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Finding the Third Proportional to 307,980 and 668,568

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Solution

The third proportional to 307,980 and 668,568 is: 1,451,338.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,980 : 668,568 = 668,568 : x
  2. Step 2: Convert to fraction form
    307,980/668,568 = 668,568/x
  3. Step 3: Cross multiply
    307,980x = 668,568 × 668,568
  4. Step 4: Simplify right side
    307,980x = 446,983,170,624
  5. Step 5: Solve for x
    x = 446,983,170,624/307,980
  6. Step 6: Final answer
    x = 1,451,338.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.