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Finding the Third Proportional to 121.74 and 158.58

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Solution

The third proportional to 121.74 and 158.58 is: 206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.74 : 158.58 = 158.58 : x
  2. Step 2: Convert to fraction form
    121.74/158.58 = 158.58/x
  3. Step 3: Cross multiply
    121.74x = 158.58 × 158.58
  4. Step 4: Simplify right side
    121.74x = 25,147.25
  5. Step 5: Solve for x
    x = 25,147.25/121.74
  6. Step 6: Final answer
    x = 206.57

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.