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Finding the Third Proportional to 178.38 and 276.13

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Solution

The third proportional to 178.38 and 276.13 is: 427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.38 : 276.13 = 276.13 : x
  2. Step 2: Convert to fraction form
    178.38/276.13 = 276.13/x
  3. Step 3: Cross multiply
    178.38x = 276.13 × 276.13
  4. Step 4: Simplify right side
    178.38x = 76,245.02
  5. Step 5: Solve for x
    x = 76,245.02/178.38
  6. Step 6: Final answer
    x = 427.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.