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Finding the Third Proportional to 561,230 and 855,857

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Solution

The third proportional to 561,230 and 855,857 is: 1,305,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,230 : 855,857 = 855,857 : x
  2. Step 2: Convert to fraction form
    561,230/855,857 = 855,857/x
  3. Step 3: Cross multiply
    561,230x = 855,857 × 855,857
  4. Step 4: Simplify right side
    561,230x = 732,491,204,449
  5. Step 5: Solve for x
    x = 732,491,204,449/561,230
  6. Step 6: Final answer
    x = 1,305,153.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.