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Finding the Third Proportional to 178.45 and 267.68

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Solution

The third proportional to 178.45 and 267.68 is: 401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 267.68 = 267.68 : x
  2. Step 2: Convert to fraction form
    178.45/267.68 = 267.68/x
  3. Step 3: Cross multiply
    178.45x = 267.68 × 267.68
  4. Step 4: Simplify right side
    178.45x = 71,652.42
  5. Step 5: Solve for x
    x = 71,652.42/178.45
  6. Step 6: Final answer
    x = 401.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.