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Finding the Third Proportional to 386,634 and 851,754

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Solution

The third proportional to 386,634 and 851,754 is: 1,876,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,634 : 851,754 = 851,754 : x
  2. Step 2: Convert to fraction form
    386,634/851,754 = 851,754/x
  3. Step 3: Cross multiply
    386,634x = 851,754 × 851,754
  4. Step 4: Simplify right side
    386,634x = 725,484,876,516
  5. Step 5: Solve for x
    x = 725,484,876,516/386,634
  6. Step 6: Final answer
    x = 1,876,412.52

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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.