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Finding the Third Proportional to 300,828 and 451,302

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Solution

The third proportional to 300,828 and 451,302 is: 677,043.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,828 : 451,302 = 451,302 : x
  2. Step 2: Convert to fraction form
    300,828/451,302 = 451,302/x
  3. Step 3: Cross multiply
    300,828x = 451,302 × 451,302
  4. Step 4: Simplify right side
    300,828x = 203,673,495,204
  5. Step 5: Solve for x
    x = 203,673,495,204/300,828
  6. Step 6: Final answer
    x = 677,043.01

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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.