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Finding the Third Proportional to 80.54 and 174.06

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Solution

The third proportional to 80.54 and 174.06 is: 376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.54 : 174.06 = 174.06 : x
  2. Step 2: Convert to fraction form
    80.54/174.06 = 174.06/x
  3. Step 3: Cross multiply
    80.54x = 174.06 × 174.06
  4. Step 4: Simplify right side
    80.54x = 30,296.39
  5. Step 5: Solve for x
    x = 30,296.39/80.54
  6. Step 6: Final answer
    x = 376.15

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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.