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Finding the Third Proportional to 180.14 and 275.38

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Solution

The third proportional to 180.14 and 275.38 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 275.38 = 275.38 : x
  2. Step 2: Convert to fraction form
    180.14/275.38 = 275.38/x
  3. Step 3: Cross multiply
    180.14x = 275.38 × 275.38
  4. Step 4: Simplify right side
    180.14x = 75,833.54
  5. Step 5: Solve for x
    x = 75,833.54/180.14
  6. Step 6: Final answer
    x = 420.97

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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.