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Finding the Third Proportional to 309,204 and 668,880

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Solution

The third proportional to 309,204 and 668,880 is: 1,446,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,204 : 668,880 = 668,880 : x
  2. Step 2: Convert to fraction form
    309,204/668,880 = 668,880/x
  3. Step 3: Cross multiply
    309,204x = 668,880 × 668,880
  4. Step 4: Simplify right side
    309,204x = 447,400,454,400
  5. Step 5: Solve for x
    x = 447,400,454,400/309,204
  6. Step 6: Final answer
    x = 1,446,942.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.