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Finding the Third Proportional to 378,723 and 825,240

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Solution

The third proportional to 378,723 and 825,240 is: 1,798,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,723 : 825,240 = 825,240 : x
  2. Step 2: Convert to fraction form
    378,723/825,240 = 825,240/x
  3. Step 3: Cross multiply
    378,723x = 825,240 × 825,240
  4. Step 4: Simplify right side
    378,723x = 681,021,057,600
  5. Step 5: Solve for x
    x = 681,021,057,600/378,723
  6. Step 6: Final answer
    x = 1,798,203.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.