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Finding the Third Proportional to 557,095 and 861,198

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Solution

The third proportional to 557,095 and 861,198 is: 1,331,302.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,095 : 861,198 = 861,198 : x
  2. Step 2: Convert to fraction form
    557,095/861,198 = 861,198/x
  3. Step 3: Cross multiply
    557,095x = 861,198 × 861,198
  4. Step 4: Simplify right side
    557,095x = 741,661,995,204
  5. Step 5: Solve for x
    x = 741,661,995,204/557,095
  6. Step 6: Final answer
    x = 1,331,302.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.