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Finding the Third Proportional to 385,884 and 861,192

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Solution

The third proportional to 385,884 and 861,192 is: 1,921,954.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,884 : 861,192 = 861,192 : x
  2. Step 2: Convert to fraction form
    385,884/861,192 = 861,192/x
  3. Step 3: Cross multiply
    385,884x = 861,192 × 861,192
  4. Step 4: Simplify right side
    385,884x = 741,651,660,864
  5. Step 5: Solve for x
    x = 741,651,660,864/385,884
  6. Step 6: Final answer
    x = 1,921,954.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.