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Finding the Third Proportional to 378,644 and 807,805

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Solution

The third proportional to 378,644 and 807,805 is: 1,723,383.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,644 : 807,805 = 807,805 : x
  2. Step 2: Convert to fraction form
    378,644/807,805 = 807,805/x
  3. Step 3: Cross multiply
    378,644x = 807,805 × 807,805
  4. Step 4: Simplify right side
    378,644x = 652,548,918,025
  5. Step 5: Solve for x
    x = 652,548,918,025/378,644
  6. Step 6: Final answer
    x = 1,723,383.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.