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Finding the Third Proportional to 378,864 and 565,704

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Solution

The third proportional to 378,864 and 565,704 is: 844,685.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,864 : 565,704 = 565,704 : x
  2. Step 2: Convert to fraction form
    378,864/565,704 = 565,704/x
  3. Step 3: Cross multiply
    378,864x = 565,704 × 565,704
  4. Step 4: Simplify right side
    378,864x = 320,021,015,616
  5. Step 5: Solve for x
    x = 320,021,015,616/378,864
  6. Step 6: Final answer
    x = 844,685.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.