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Finding the Third Proportional to 121.92 and 284.55

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Solution

The third proportional to 121.92 and 284.55 is: 664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 284.55 = 284.55 : x
  2. Step 2: Convert to fraction form
    121.92/284.55 = 284.55/x
  3. Step 3: Cross multiply
    121.92x = 284.55 × 284.55
  4. Step 4: Simplify right side
    121.92x = 80,971.37
  5. Step 5: Solve for x
    x = 80,971.37/121.92
  6. Step 6: Final answer
    x = 664.13

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.