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Finding the Third Proportional to 372.81 and 820.19

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Solution

The third proportional to 372.81 and 820.19 is: 1,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.81 : 820.19 = 820.19 : x
  2. Step 2: Convert to fraction form
    372.81/820.19 = 820.19/x
  3. Step 3: Cross multiply
    372.81x = 820.19 × 820.19
  4. Step 4: Simplify right side
    372.81x = 672,707.54
  5. Step 5: Solve for x
    x = 672,707.54/372.81
  6. Step 6: Final answer
    x = 1,804.41

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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.