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Finding the Third Proportional to 340,956 and 717,858

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Solution

The third proportional to 340,956 and 717,858 is: 1,511,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,956 : 717,858 = 717,858 : x
  2. Step 2: Convert to fraction form
    340,956/717,858 = 717,858/x
  3. Step 3: Cross multiply
    340,956x = 717,858 × 717,858
  4. Step 4: Simplify right side
    340,956x = 515,320,108,164
  5. Step 5: Solve for x
    x = 515,320,108,164/340,956
  6. Step 6: Final answer
    x = 1,511,397.68

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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.