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Finding the Third Proportional to 381.06 and 819.91

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Solution

The third proportional to 381.06 and 819.91 is: 1,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 819.91 = 819.91 : x
  2. Step 2: Convert to fraction form
    381.06/819.91 = 819.91/x
  3. Step 3: Cross multiply
    381.06x = 819.91 × 819.91
  4. Step 4: Simplify right side
    381.06x = 672,246.26
  5. Step 5: Solve for x
    x = 672,246.26/381.06
  6. Step 6: Final answer
    x = 1,764.14

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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.