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Finding the Third Proportional to 378,720 and 814,662

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Solution

The third proportional to 378,720 and 814,662 is: 1,752,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,720 : 814,662 = 814,662 : x
  2. Step 2: Convert to fraction form
    378,720/814,662 = 814,662/x
  3. Step 3: Cross multiply
    378,720x = 814,662 × 814,662
  4. Step 4: Simplify right side
    378,720x = 663,674,174,244
  5. Step 5: Solve for x
    x = 663,674,174,244/378,720
  6. Step 6: Final answer
    x = 1,752,413.85

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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.