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Finding the Third Proportional to 121.36 and 192.87

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Solution

The third proportional to 121.36 and 192.87 is: 306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.36 : 192.87 = 192.87 : x
  2. Step 2: Convert to fraction form
    121.36/192.87 = 192.87/x
  3. Step 3: Cross multiply
    121.36x = 192.87 × 192.87
  4. Step 4: Simplify right side
    121.36x = 37,197.75
  5. Step 5: Solve for x
    x = 37,197.75/121.36
  6. Step 6: Final answer
    x = 306.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.