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Finding the Third Proportional to 387,976 and 837,116

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Solution

The third proportional to 387,976 and 837,116 is: 1,806,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,976 : 837,116 = 837,116 : x
  2. Step 2: Convert to fraction form
    387,976/837,116 = 837,116/x
  3. Step 3: Cross multiply
    387,976x = 837,116 × 837,116
  4. Step 4: Simplify right side
    387,976x = 700,763,197,456
  5. Step 5: Solve for x
    x = 700,763,197,456/387,976
  6. Step 6: Final answer
    x = 1,806,202.44

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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.