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Finding the Third Proportional to 378,162 and 806,382

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Solution

The third proportional to 378,162 and 806,382 is: 1,719,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,162 : 806,382 = 806,382 : x
  2. Step 2: Convert to fraction form
    378,162/806,382 = 806,382/x
  3. Step 3: Cross multiply
    378,162x = 806,382 × 806,382
  4. Step 4: Simplify right side
    378,162x = 650,251,929,924
  5. Step 5: Solve for x
    x = 650,251,929,924/378,162
  6. Step 6: Final answer
    x = 1,719,506.27

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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.