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Finding the Third Proportional to 121.92 and 274.78

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Solution

The third proportional to 121.92 and 274.78 is: 619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 274.78 = 274.78 : x
  2. Step 2: Convert to fraction form
    121.92/274.78 = 274.78/x
  3. Step 3: Cross multiply
    121.92x = 274.78 × 274.78
  4. Step 4: Simplify right side
    121.92x = 75,504.74
  5. Step 5: Solve for x
    x = 75,504.74/121.92
  6. Step 6: Final answer
    x = 619.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.