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Finding the Third Proportional to 86,600 and 177,493

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Solution

The third proportional to 86,600 and 177,493 is: 363,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,600 : 177,493 = 177,493 : x
  2. Step 2: Convert to fraction form
    86,600/177,493 = 177,493/x
  3. Step 3: Cross multiply
    86,600x = 177,493 × 177,493
  4. Step 4: Simplify right side
    86,600x = 31,503,765,049
  5. Step 5: Solve for x
    x = 31,503,765,049/86,600
  6. Step 6: Final answer
    x = 363,784.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.