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Finding the Third Proportional to 378,357 and 791,757

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Solution

The third proportional to 378,357 and 791,757 is: 1,656,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,357 : 791,757 = 791,757 : x
  2. Step 2: Convert to fraction form
    378,357/791,757 = 791,757/x
  3. Step 3: Cross multiply
    378,357x = 791,757 × 791,757
  4. Step 4: Simplify right side
    378,357x = 626,879,147,049
  5. Step 5: Solve for x
    x = 626,879,147,049/378,357
  6. Step 6: Final answer
    x = 1,656,845.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.