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Finding the Third Proportional to 378.11 and 820.76

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Solution

The third proportional to 378.11 and 820.76 is: 1,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.11 : 820.76 = 820.76 : x
  2. Step 2: Convert to fraction form
    378.11/820.76 = 820.76/x
  3. Step 3: Cross multiply
    378.11x = 820.76 × 820.76
  4. Step 4: Simplify right side
    378.11x = 673,643.39
  5. Step 5: Solve for x
    x = 673,643.39/378.11
  6. Step 6: Final answer
    x = 1,781.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.