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Finding the Third Proportional to 300,849 and 660,741

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Solution

The third proportional to 300,849 and 660,741 is: 1,451,155.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,849 : 660,741 = 660,741 : x
  2. Step 2: Convert to fraction form
    300,849/660,741 = 660,741/x
  3. Step 3: Cross multiply
    300,849x = 660,741 × 660,741
  4. Step 4: Simplify right side
    300,849x = 436,578,669,081
  5. Step 5: Solve for x
    x = 436,578,669,081/300,849
  6. Step 6: Final answer
    x = 1,451,155.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.