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Finding the Third Proportional to 375,876 and 782,856

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Solution

The third proportional to 375,876 and 782,856 is: 1,630,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,876 : 782,856 = 782,856 : x
  2. Step 2: Convert to fraction form
    375,876/782,856 = 782,856/x
  3. Step 3: Cross multiply
    375,876x = 782,856 × 782,856
  4. Step 4: Simplify right side
    375,876x = 612,863,516,736
  5. Step 5: Solve for x
    x = 612,863,516,736/375,876
  6. Step 6: Final answer
    x = 1,630,493.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.