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Finding the Third Proportional to 227,296 and 478,555

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Solution

The third proportional to 227,296 and 478,555 is: 1,007,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,296 : 478,555 = 478,555 : x
  2. Step 2: Convert to fraction form
    227,296/478,555 = 478,555/x
  3. Step 3: Cross multiply
    227,296x = 478,555 × 478,555
  4. Step 4: Simplify right side
    227,296x = 229,014,888,025
  5. Step 5: Solve for x
    x = 229,014,888,025/227,296
  6. Step 6: Final answer
    x = 1,007,562.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.