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Finding the Third Proportional to 311,040 and 681,192

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Solution

The third proportional to 311,040 and 681,192 is: 1,491,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,040 : 681,192 = 681,192 : x
  2. Step 2: Convert to fraction form
    311,040/681,192 = 681,192/x
  3. Step 3: Cross multiply
    311,040x = 681,192 × 681,192
  4. Step 4: Simplify right side
    311,040x = 464,022,540,864
  5. Step 5: Solve for x
    x = 464,022,540,864/311,040
  6. Step 6: Final answer
    x = 1,491,842.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.