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Finding the Third Proportional to 121.74 and 178.33

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Solution

The third proportional to 121.74 and 178.33 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 178.33 = 178.33 : x
  2. Step 2: Convert to fraction form
    121.74/178.33 = 178.33/x
  3. Step 3: Cross multiply
    121.74x = 178.33 × 178.33
  4. Step 4: Simplify right side
    121.74x = 31,803.18
  5. Step 5: Solve for x
    x = 31,803.18/121.74
  6. Step 6: Final answer
    x = 261.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.