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Finding the Third Proportional to 119.60 and 179.40

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Solution

The third proportional to 119.60 and 179.40 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 179.40 = 179.40 : x
  2. Step 2: Convert to fraction form
    119.60/179.40 = 179.40/x
  3. Step 3: Cross multiply
    119.60x = 179.40 × 179.40
  4. Step 4: Simplify right side
    119.60x = 32,185.20
  5. Step 5: Solve for x
    x = 32,185.20/119.60
  6. Step 6: Final answer
    x = 269.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.