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Finding the Third Proportional to 381,331.13 and 829,016.44

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Solution

The third proportional to 381,331.13 and 829,016.44 is: 1,802,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,331.13 : 829,016.44 = 829,016.44 : x
  2. Step 2: Convert to fraction form
    381,331.13/829,016.44 = 829,016.44/x
  3. Step 3: Cross multiply
    381,331.13x = 829,016.44 × 829,016.44
  4. Step 4: Simplify right side
    381,331.13x = 687,268,253,645.19
  5. Step 5: Solve for x
    x = 687,268,253,645.19/381,331.13
  6. Step 6: Final answer
    x = 1,802,287.33

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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.