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Finding the Third Proportional to 178.03 and 273.48

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Solution

The third proportional to 178.03 and 273.48 is: 420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 273.48 = 273.48 : x
  2. Step 2: Convert to fraction form
    178.03/273.48 = 273.48/x
  3. Step 3: Cross multiply
    178.03x = 273.48 × 273.48
  4. Step 4: Simplify right side
    178.03x = 74,791.57
  5. Step 5: Solve for x
    x = 74,791.57/178.03
  6. Step 6: Final answer
    x = 420.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.