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Finding the Third Proportional to 373.25 and 820.97

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Solution

The third proportional to 373.25 and 820.97 is: 1,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.25 : 820.97 = 820.97 : x
  2. Step 2: Convert to fraction form
    373.25/820.97 = 820.97/x
  3. Step 3: Cross multiply
    373.25x = 820.97 × 820.97
  4. Step 4: Simplify right side
    373.25x = 673,989.69
  5. Step 5: Solve for x
    x = 673,989.69/373.25
  6. Step 6: Final answer
    x = 1,805.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.