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Finding the Third Proportional to 340,983.56 and 717,910.88

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Solution

The third proportional to 340,983.56 and 717,910.88 is: 1,511,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,983.56 : 717,910.88 = 717,910.88 : x
  2. Step 2: Convert to fraction form
    340,983.56/717,910.88 = 717,910.88/x
  3. Step 3: Cross multiply
    340,983.56x = 717,910.88 × 717,910.88
  4. Step 4: Simplify right side
    340,983.56x = 515,396,024,443.27
  5. Step 5: Solve for x
    x = 515,396,024,443.27/340,983.56
  6. Step 6: Final answer
    x = 1,511,498.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.