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Finding the Third Proportional to 392,568 and 851,520

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Solution

The third proportional to 392,568 and 851,520 is: 1,847,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,568 : 851,520 = 851,520 : x
  2. Step 2: Convert to fraction form
    392,568/851,520 = 851,520/x
  3. Step 3: Cross multiply
    392,568x = 851,520 × 851,520
  4. Step 4: Simplify right side
    392,568x = 725,086,310,400
  5. Step 5: Solve for x
    x = 725,086,310,400/392,568
  6. Step 6: Final answer
    x = 1,847,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.