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Finding the Third Proportional to 176.91 and 379.97

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Solution

The third proportional to 176.91 and 379.97 is: 816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.91 : 379.97 = 379.97 : x
  2. Step 2: Convert to fraction form
    176.91/379.97 = 379.97/x
  3. Step 3: Cross multiply
    176.91x = 379.97 × 379.97
  4. Step 4: Simplify right side
    176.91x = 144,376.25
  5. Step 5: Solve for x
    x = 144,376.25/176.91
  6. Step 6: Final answer
    x = 816.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.