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Finding the Third Proportional to 225.21 and 489.87

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Solution

The third proportional to 225.21 and 489.87 is: 1,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.21 : 489.87 = 489.87 : x
  2. Step 2: Convert to fraction form
    225.21/489.87 = 489.87/x
  3. Step 3: Cross multiply
    225.21x = 489.87 × 489.87
  4. Step 4: Simplify right side
    225.21x = 239,969.86
  5. Step 5: Solve for x
    x = 239,969.86/225.21
  6. Step 6: Final answer
    x = 1,065.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.