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Finding the Third Proportional to 561,212 and 855,832

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Solution

The third proportional to 561,212 and 855,832 is: 1,305,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,212 : 855,832 = 855,832 : x
  2. Step 2: Convert to fraction form
    561,212/855,832 = 855,832/x
  3. Step 3: Cross multiply
    561,212x = 855,832 × 855,832
  4. Step 4: Simplify right side
    561,212x = 732,448,412,224
  5. Step 5: Solve for x
    x = 732,448,412,224/561,212
  6. Step 6: Final answer
    x = 1,305,118.94

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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.