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Finding the Third Proportional to 119.16 and 179.34

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Solution

The third proportional to 119.16 and 179.34 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.16 : 179.34 = 179.34 : x
  2. Step 2: Convert to fraction form
    119.16/179.34 = 179.34/x
  3. Step 3: Cross multiply
    119.16x = 179.34 × 179.34
  4. Step 4: Simplify right side
    119.16x = 32,164.18
  5. Step 5: Solve for x
    x = 32,164.18/119.16
  6. Step 6: Final answer
    x = 269.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.