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Finding the Third Proportional to 3,940,520 and 8,509,744

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Solution

The third proportional to 3,940,520 and 8,509,744 is: 18,377,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,520 : 8,509,744 = 8,509,744 : x
  2. Step 2: Convert to fraction form
    3,940,520/8,509,744 = 8,509,744/x
  3. Step 3: Cross multiply
    3,940,520x = 8,509,744 × 8,509,744
  4. Step 4: Simplify right side
    3,940,520x = 72,415,742,945,536
  5. Step 5: Solve for x
    x = 72,415,742,945,536/3,940,520
  6. Step 6: Final answer
    x = 18,377,204.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.