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Finding the Third Proportional to 557,091 and 861,192

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Solution

The third proportional to 557,091 and 861,192 is: 1,331,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,091 : 861,192 = 861,192 : x
  2. Step 2: Convert to fraction form
    557,091/861,192 = 861,192/x
  3. Step 3: Cross multiply
    557,091x = 861,192 × 861,192
  4. Step 4: Simplify right side
    557,091x = 741,651,660,864
  5. Step 5: Solve for x
    x = 741,651,660,864/557,091
  6. Step 6: Final answer
    x = 1,331,293.56

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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.