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Finding the Third Proportional to 121.74 and 191.15

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Solution

The third proportional to 121.74 and 191.15 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 191.15 = 191.15 : x
  2. Step 2: Convert to fraction form
    121.74/191.15 = 191.15/x
  3. Step 3: Cross multiply
    121.74x = 191.15 × 191.15
  4. Step 4: Simplify right side
    121.74x = 36,537.91
  5. Step 5: Solve for x
    x = 36,537.91/121.74
  6. Step 6: Final answer
    x = 300.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.