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Finding the Third Proportional to 313,856 and 644,236

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Solution

The third proportional to 313,856 and 644,236 is: 1,322,389.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,856 : 644,236 = 644,236 : x
  2. Step 2: Convert to fraction form
    313,856/644,236 = 644,236/x
  3. Step 3: Cross multiply
    313,856x = 644,236 × 644,236
  4. Step 4: Simplify right side
    313,856x = 415,040,023,696
  5. Step 5: Solve for x
    x = 415,040,023,696/313,856
  6. Step 6: Final answer
    x = 1,322,389.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.