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Finding the Third Proportional to 380.11 and 819.49

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Solution

The third proportional to 380.11 and 819.49 is: 1,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.11 : 819.49 = 819.49 : x
  2. Step 2: Convert to fraction form
    380.11/819.49 = 819.49/x
  3. Step 3: Cross multiply
    380.11x = 819.49 × 819.49
  4. Step 4: Simplify right side
    380.11x = 671,567.45
  5. Step 5: Solve for x
    x = 671,567.45/380.11
  6. Step 6: Final answer
    x = 1,766.77

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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.