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Finding the Third Proportional to 121.08 and 179.93

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Solution

The third proportional to 121.08 and 179.93 is: 267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.08 : 179.93 = 179.93 : x
  2. Step 2: Convert to fraction form
    121.08/179.93 = 179.93/x
  3. Step 3: Cross multiply
    121.08x = 179.93 × 179.93
  4. Step 4: Simplify right side
    121.08x = 32,374.69
  5. Step 5: Solve for x
    x = 32,374.69/121.08
  6. Step 6: Final answer
    x = 267.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.