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Finding the Third Proportional to 173.53 and 381.09

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Solution

The third proportional to 173.53 and 381.09 is: 836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.53 : 381.09 = 381.09 : x
  2. Step 2: Convert to fraction form
    173.53/381.09 = 381.09/x
  3. Step 3: Cross multiply
    173.53x = 381.09 × 381.09
  4. Step 4: Simplify right side
    173.53x = 145,232.45
  5. Step 5: Solve for x
    x = 145,232.45/173.53
  6. Step 6: Final answer
    x = 836.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.