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Finding the Third Proportional to 175.38 and 381.44

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Solution

The third proportional to 175.38 and 381.44 is: 829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 381.44 = 381.44 : x
  2. Step 2: Convert to fraction form
    175.38/381.44 = 381.44/x
  3. Step 3: Cross multiply
    175.38x = 381.44 × 381.44
  4. Step 4: Simplify right side
    175.38x = 145,494.57
  5. Step 5: Solve for x
    x = 145,494.57/175.38
  6. Step 6: Final answer
    x = 829.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.