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Finding the Third Proportional to 340,964 and 717,876

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Solution

The third proportional to 340,964 and 717,876 is: 1,511,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,964 : 717,876 = 717,876 : x
  2. Step 2: Convert to fraction form
    340,964/717,876 = 717,876/x
  3. Step 3: Cross multiply
    340,964x = 717,876 × 717,876
  4. Step 4: Simplify right side
    340,964x = 515,345,951,376
  5. Step 5: Solve for x
    x = 515,345,951,376/340,964
  6. Step 6: Final answer
    x = 1,511,438.02

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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.