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Finding the Third Proportional to 300,741 and 408,555

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Solution

The third proportional to 300,741 and 408,555 is: 555,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,741 : 408,555 = 408,555 : x
  2. Step 2: Convert to fraction form
    300,741/408,555 = 408,555/x
  3. Step 3: Cross multiply
    300,741x = 408,555 × 408,555
  4. Step 4: Simplify right side
    300,741x = 166,917,188,025
  5. Step 5: Solve for x
    x = 166,917,188,025/300,741
  6. Step 6: Final answer
    x = 555,019.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.