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Finding the Third Proportional to 179.72 and 381.90

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Solution

The third proportional to 179.72 and 381.90 is: 811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 381.90 = 381.90 : x
  2. Step 2: Convert to fraction form
    179.72/381.90 = 381.90/x
  3. Step 3: Cross multiply
    179.72x = 381.90 × 381.90
  4. Step 4: Simplify right side
    179.72x = 145,849.40
  5. Step 5: Solve for x
    x = 145,849.40/179.72
  6. Step 6: Final answer
    x = 811.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.