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Finding the Third Proportional to 380.25 and 819.88

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Solution

The third proportional to 380.25 and 819.88 is: 1,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 819.88 = 819.88 : x
  2. Step 2: Convert to fraction form
    380.25/819.88 = 819.88/x
  3. Step 3: Cross multiply
    380.25x = 819.88 × 819.88
  4. Step 4: Simplify right side
    380.25x = 672,195.02
  5. Step 5: Solve for x
    x = 672,195.02/380.25
  6. Step 6: Final answer
    x = 1,767.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.