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Finding the Third Proportional to 378,163 and 806,384

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Solution

The third proportional to 378,163 and 806,384 is: 1,719,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,163 : 806,384 = 806,384 : x
  2. Step 2: Convert to fraction form
    378,163/806,384 = 806,384/x
  3. Step 3: Cross multiply
    378,163x = 806,384 × 806,384
  4. Step 4: Simplify right side
    378,163x = 650,255,155,456
  5. Step 5: Solve for x
    x = 650,255,155,456/378,163
  6. Step 6: Final answer
    x = 1,719,510.25

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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.