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Finding the Third Proportional to 121.36 and 187.17

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Solution

The third proportional to 121.36 and 187.17 is: 288.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 187.17 = 187.17 : x
  2. Step 2: Convert to fraction form
    121.36/187.17 = 187.17/x
  3. Step 3: Cross multiply
    121.36x = 187.17 × 187.17
  4. Step 4: Simplify right side
    121.36x = 35,033.31
  5. Step 5: Solve for x
    x = 35,033.31/121.36
  6. Step 6: Final answer
    x = 288.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.