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Finding the Third Proportional to 121.78 and 178.17

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Solution

The third proportional to 121.78 and 178.17 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.78 : 178.17 = 178.17 : x
  2. Step 2: Convert to fraction form
    121.78/178.17 = 178.17/x
  3. Step 3: Cross multiply
    121.78x = 178.17 × 178.17
  4. Step 4: Simplify right side
    121.78x = 31,745.22
  5. Step 5: Solve for x
    x = 31,745.22/121.78
  6. Step 6: Final answer
    x = 260.67

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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.