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Finding the Third Proportional to 178.50 and 273.88

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Solution

The third proportional to 178.50 and 273.88 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 273.88 = 273.88 : x
  2. Step 2: Convert to fraction form
    178.50/273.88 = 273.88/x
  3. Step 3: Cross multiply
    178.50x = 273.88 × 273.88
  4. Step 4: Simplify right side
    178.50x = 75,007.52
  5. Step 5: Solve for x
    x = 75,007.52/178.50
  6. Step 6: Final answer
    x = 420.21

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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.