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Finding the Third Proportional to 178.25 and 273.81

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Solution

The third proportional to 178.25 and 273.81 is: 420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 273.81 = 273.81 : x
  2. Step 2: Convert to fraction form
    178.25/273.81 = 273.81/x
  3. Step 3: Cross multiply
    178.25x = 273.81 × 273.81
  4. Step 4: Simplify right side
    178.25x = 74,973.29
  5. Step 5: Solve for x
    x = 74,973.29/178.25
  6. Step 6: Final answer
    x = 420.61

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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.