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Finding the Third Proportional to 561,252 and 855,886

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Solution

The third proportional to 561,252 and 855,886 is: 1,305,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,252 : 855,886 = 855,886 : x
  2. Step 2: Convert to fraction form
    561,252/855,886 = 855,886/x
  3. Step 3: Cross multiply
    561,252x = 855,886 × 855,886
  4. Step 4: Simplify right side
    561,252x = 732,540,844,996
  5. Step 5: Solve for x
    x = 732,540,844,996/561,252
  6. Step 6: Final answer
    x = 1,305,190.62

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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.