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Finding the Third Proportional to 3,940,710 and 8,489,324

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Solution

The third proportional to 3,940,710 and 8,489,324 is: 18,288,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,710 : 8,489,324 = 8,489,324 : x
  2. Step 2: Convert to fraction form
    3,940,710/8,489,324 = 8,489,324/x
  3. Step 3: Cross multiply
    3,940,710x = 8,489,324 × 8,489,324
  4. Step 4: Simplify right side
    3,940,710x = 72,068,621,976,976
  5. Step 5: Solve for x
    x = 72,068,621,976,976/3,940,710
  6. Step 6: Final answer
    x = 18,288,232.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.