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Finding the Third Proportional to 386,619 and 851,727

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Solution

The third proportional to 386,619 and 851,727 is: 1,876,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,619 : 851,727 = 851,727 : x
  2. Step 2: Convert to fraction form
    386,619/851,727 = 851,727/x
  3. Step 3: Cross multiply
    386,619x = 851,727 × 851,727
  4. Step 4: Simplify right side
    386,619x = 725,438,882,529
  5. Step 5: Solve for x
    x = 725,438,882,529/386,619
  6. Step 6: Final answer
    x = 1,876,366.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.