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Finding the Third Proportional to 300,814 and 451,278

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Solution

The third proportional to 300,814 and 451,278 is: 677,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,814 : 451,278 = 451,278 : x
  2. Step 2: Convert to fraction form
    300,814/451,278 = 451,278/x
  3. Step 3: Cross multiply
    300,814x = 451,278 × 451,278
  4. Step 4: Simplify right side
    300,814x = 203,651,833,284
  5. Step 5: Solve for x
    x = 203,651,833,284/300,814
  6. Step 6: Final answer
    x = 677,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.