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Finding the Third Proportional to 80.58 and 174.23

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Solution

The third proportional to 80.58 and 174.23 is: 376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 174.23 = 174.23 : x
  2. Step 2: Convert to fraction form
    80.58/174.23 = 174.23/x
  3. Step 3: Cross multiply
    80.58x = 174.23 × 174.23
  4. Step 4: Simplify right side
    80.58x = 30,357.62
  5. Step 5: Solve for x
    x = 30,357.62/80.58
  6. Step 6: Final answer
    x = 376.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.