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Finding the Third Proportional to 378,578 and 835,924

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Solution

The third proportional to 378,578 and 835,924 is: 1,845,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,578 : 835,924 = 835,924 : x
  2. Step 2: Convert to fraction form
    378,578/835,924 = 835,924/x
  3. Step 3: Cross multiply
    378,578x = 835,924 × 835,924
  4. Step 4: Simplify right side
    378,578x = 698,768,933,776
  5. Step 5: Solve for x
    x = 698,768,933,776/378,578
  6. Step 6: Final answer
    x = 1,845,772.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.