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Finding the Third Proportional to 121.19 and 182.44

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Solution

The third proportional to 121.19 and 182.44 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.19 : 182.44 = 182.44 : x
  2. Step 2: Convert to fraction form
    121.19/182.44 = 182.44/x
  3. Step 3: Cross multiply
    121.19x = 182.44 × 182.44
  4. Step 4: Simplify right side
    121.19x = 33,283.44
  5. Step 5: Solve for x
    x = 33,283.44/121.19
  6. Step 6: Final answer
    x = 274.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.