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Finding the Third Proportional to 3,879,640 and 8,378,768

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Solution

The third proportional to 3,879,640 and 8,378,768 is: 18,095,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879,640 : 8,378,768 = 8,378,768 : x
  2. Step 2: Convert to fraction form
    3,879,640/8,378,768 = 8,378,768/x
  3. Step 3: Cross multiply
    3,879,640x = 8,378,768 × 8,378,768
  4. Step 4: Simplify right side
    3,879,640x = 70,203,753,197,824
  5. Step 5: Solve for x
    x = 70,203,753,197,824/3,879,640
  6. Step 6: Final answer
    x = 18,095,429.78

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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.