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Finding the Third Proportional to 399,012 and 861,327

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Solution

The third proportional to 399,012 and 861,327 is: 1,859,302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,012 : 861,327 = 861,327 : x
  2. Step 2: Convert to fraction form
    399,012/861,327 = 861,327/x
  3. Step 3: Cross multiply
    399,012x = 861,327 × 861,327
  4. Step 4: Simplify right side
    399,012x = 741,884,200,929
  5. Step 5: Solve for x
    x = 741,884,200,929/399,012
  6. Step 6: Final answer
    x = 1,859,302.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.