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Finding the Third Proportional to 180.94 and 276.47

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Solution

The third proportional to 180.94 and 276.47 is: 422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 276.47 = 276.47 : x
  2. Step 2: Convert to fraction form
    180.94/276.47 = 276.47/x
  3. Step 3: Cross multiply
    180.94x = 276.47 × 276.47
  4. Step 4: Simplify right side
    180.94x = 76,434.97
  5. Step 5: Solve for x
    x = 76,434.97/180.94
  6. Step 6: Final answer
    x = 422.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.