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Finding the Third Proportional to 378,826 and 770,708

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Solution

The third proportional to 378,826 and 770,708 is: 1,567,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,826 : 770,708 = 770,708 : x
  2. Step 2: Convert to fraction form
    378,826/770,708 = 770,708/x
  3. Step 3: Cross multiply
    378,826x = 770,708 × 770,708
  4. Step 4: Simplify right side
    378,826x = 593,990,821,264
  5. Step 5: Solve for x
    x = 593,990,821,264/378,826
  6. Step 6: Final answer
    x = 1,567,977.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.