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Finding the Third Proportional to 300,819.56 and 451,293.94

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Solution

The third proportional to 300,819.56 and 451,293.94 is: 677,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,819.56 : 451,293.94 = 451,293.94 : x
  2. Step 2: Convert to fraction form
    300,819.56/451,293.94 = 451,293.94/x
  3. Step 3: Cross multiply
    300,819.56x = 451,293.94 × 451,293.94
  4. Step 4: Simplify right side
    300,819.56x = 203,666,218,024.25
  5. Step 5: Solve for x
    x = 203,666,218,024.25/300,819.56
  6. Step 6: Final answer
    x = 677,037.81

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