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Finding the Third Proportional to 121.34 and 188.42

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Solution

The third proportional to 121.34 and 188.42 is: 292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.34 : 188.42 = 188.42 : x
  2. Step 2: Convert to fraction form
    121.34/188.42 = 188.42/x
  3. Step 3: Cross multiply
    121.34x = 188.42 × 188.42
  4. Step 4: Simplify right side
    121.34x = 35,502.07
  5. Step 5: Solve for x
    x = 35,502.07/121.34
  6. Step 6: Final answer
    x = 292.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.