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Finding the Third Proportional to 226.25 and 489.63

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Solution

The third proportional to 226.25 and 489.63 is: 1,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.25 : 489.63 = 489.63 : x
  2. Step 2: Convert to fraction form
    226.25/489.63 = 489.63/x
  3. Step 3: Cross multiply
    226.25x = 489.63 × 489.63
  4. Step 4: Simplify right side
    226.25x = 239,732.64
  5. Step 5: Solve for x
    x = 239,732.64/226.25
  6. Step 6: Final answer
    x = 1,059.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.