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Finding the Third Proportional to 121.92 and 188.58

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Solution

The third proportional to 121.92 and 188.58 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.92 : 188.58 = 188.58 : x
  2. Step 2: Convert to fraction form
    121.92/188.58 = 188.58/x
  3. Step 3: Cross multiply
    121.92x = 188.58 × 188.58
  4. Step 4: Simplify right side
    121.92x = 35,561.71
  5. Step 5: Solve for x
    x = 35,561.71/121.92
  6. Step 6: Final answer
    x = 291.68

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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.