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Finding the Third Proportional to 557,116 and 861,232

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Solution

The third proportional to 557,116 and 861,232 is: 1,331,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,116 : 861,232 = 861,232 : x
  2. Step 2: Convert to fraction form
    557,116/861,232 = 861,232/x
  3. Step 3: Cross multiply
    557,116x = 861,232 × 861,232
  4. Step 4: Simplify right side
    557,116x = 741,720,557,824
  5. Step 5: Solve for x
    x = 741,720,557,824/557,116
  6. Step 6: Final answer
    x = 1,331,357.49

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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.