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Finding the Third Proportional to 177.09 and 273.56

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Solution

The third proportional to 177.09 and 273.56 is: 422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.09 : 273.56 = 273.56 : x
  2. Step 2: Convert to fraction form
    177.09/273.56 = 273.56/x
  3. Step 3: Cross multiply
    177.09x = 273.56 × 273.56
  4. Step 4: Simplify right side
    177.09x = 74,836.44
  5. Step 5: Solve for x
    x = 74,836.44/177.09
  6. Step 6: Final answer
    x = 422.58

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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.