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Finding the Third Proportional to 80.09 and 174.60

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Solution

The third proportional to 80.09 and 174.60 is: 380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.09 : 174.60 = 174.60 : x
  2. Step 2: Convert to fraction form
    80.09/174.60 = 174.60/x
  3. Step 3: Cross multiply
    80.09x = 174.60 × 174.60
  4. Step 4: Simplify right side
    80.09x = 30,484.09
  5. Step 5: Solve for x
    x = 30,484.09/80.09
  6. Step 6: Final answer
    x = 380.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.