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Finding the Third Proportional to 226,400 and 331,578

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Solution

The third proportional to 226,400 and 331,578 is: 485,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,400 : 331,578 = 331,578 : x
  2. Step 2: Convert to fraction form
    226,400/331,578 = 331,578/x
  3. Step 3: Cross multiply
    226,400x = 331,578 × 331,578
  4. Step 4: Simplify right side
    226,400x = 109,943,970,084
  5. Step 5: Solve for x
    x = 109,943,970,084/226,400
  6. Step 6: Final answer
    x = 485,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.