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Finding the Third Proportional to 300,827 and 451,305

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Solution

The third proportional to 300,827 and 451,305 is: 677,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,827 : 451,305 = 451,305 : x
  2. Step 2: Convert to fraction form
    300,827/451,305 = 451,305/x
  3. Step 3: Cross multiply
    300,827x = 451,305 × 451,305
  4. Step 4: Simplify right side
    300,827x = 203,676,203,025
  5. Step 5: Solve for x
    x = 203,676,203,025/300,827
  6. Step 6: Final answer
    x = 677,054.26

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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.