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Finding the Third Proportional to 225.49 and 489.16

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Solution

The third proportional to 225.49 and 489.16 is: 1,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.49 : 489.16 = 489.16 : x
  2. Step 2: Convert to fraction form
    225.49/489.16 = 489.16/x
  3. Step 3: Cross multiply
    225.49x = 489.16 × 489.16
  4. Step 4: Simplify right side
    225.49x = 239,281.48
  5. Step 5: Solve for x
    x = 239,281.48/225.49
  6. Step 6: Final answer
    x = 1,061.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.