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Finding the Third Proportional to 378,167 and 806,392

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Solution

The third proportional to 378,167 and 806,392 is: 1,719,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,167 : 806,392 = 806,392 : x
  2. Step 2: Convert to fraction form
    378,167/806,392 = 806,392/x
  3. Step 3: Cross multiply
    378,167x = 806,392 × 806,392
  4. Step 4: Simplify right side
    378,167x = 650,268,057,664
  5. Step 5: Solve for x
    x = 650,268,057,664/378,167
  6. Step 6: Final answer
    x = 1,719,526.18

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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.