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Finding the Third Proportional to 378,483 and 826,625

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Solution

The third proportional to 378,483 and 826,625 is: 1,805,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,483 : 826,625 = 826,625 : x
  2. Step 2: Convert to fraction form
    378,483/826,625 = 826,625/x
  3. Step 3: Cross multiply
    378,483x = 826,625 × 826,625
  4. Step 4: Simplify right side
    378,483x = 683,308,890,625
  5. Step 5: Solve for x
    x = 683,308,890,625/378,483
  6. Step 6: Final answer
    x = 1,805,388.59

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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.