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Finding the Third Proportional to 311,714 and 681,744

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Solution

The third proportional to 311,714 and 681,744 is: 1,491,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,714 : 681,744 = 681,744 : x
  2. Step 2: Convert to fraction form
    311,714/681,744 = 681,744/x
  3. Step 3: Cross multiply
    311,714x = 681,744 × 681,744
  4. Step 4: Simplify right side
    311,714x = 464,774,881,536
  5. Step 5: Solve for x
    x = 464,774,881,536/311,714
  6. Step 6: Final answer
    x = 1,491,029.86

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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.