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Finding the Third Proportional to 55,843 and 86,357

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Solution

The third proportional to 55,843 and 86,357 is: 133,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,843 : 86,357 = 86,357 : x
  2. Step 2: Convert to fraction form
    55,843/86,357 = 86,357/x
  3. Step 3: Cross multiply
    55,843x = 86,357 × 86,357
  4. Step 4: Simplify right side
    55,843x = 7,457,531,449
  5. Step 5: Solve for x
    x = 7,457,531,449/55,843
  6. Step 6: Final answer
    x = 133,544.61

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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.