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Finding the Third Proportional to 273.38 and 372.94

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Solution

The third proportional to 273.38 and 372.94 is: 508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 372.94 = 372.94 : x
  2. Step 2: Convert to fraction form
    273.38/372.94 = 372.94/x
  3. Step 3: Cross multiply
    273.38x = 372.94 × 372.94
  4. Step 4: Simplify right side
    273.38x = 139,082.38
  5. Step 5: Solve for x
    x = 139,082.38/273.38
  6. Step 6: Final answer
    x = 508.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.