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Finding the Third Proportional to 227,118 and 308,578

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Solution

The third proportional to 227,118 and 308,578 is: 419,255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,118 : 308,578 = 308,578 : x
  2. Step 2: Convert to fraction form
    227,118/308,578 = 308,578/x
  3. Step 3: Cross multiply
    227,118x = 308,578 × 308,578
  4. Step 4: Simplify right side
    227,118x = 95,220,382,084
  5. Step 5: Solve for x
    x = 95,220,382,084/227,118
  6. Step 6: Final answer
    x = 419,255.11

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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.