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Finding the Third Proportional to 300,816 and 668,874

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Solution

The third proportional to 300,816 and 668,874 is: 1,487,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,816 : 668,874 = 668,874 : x
  2. Step 2: Convert to fraction form
    300,816/668,874 = 668,874/x
  3. Step 3: Cross multiply
    300,816x = 668,874 × 668,874
  4. Step 4: Simplify right side
    300,816x = 447,392,427,876
  5. Step 5: Solve for x
    x = 447,392,427,876/300,816
  6. Step 6: Final answer
    x = 1,487,262.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.