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Finding the Third Proportional to 86,268 and 187,723

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Solution

The third proportional to 86,268 and 187,723 is: 408,493.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,268 : 187,723 = 187,723 : x
  2. Step 2: Convert to fraction form
    86,268/187,723 = 187,723/x
  3. Step 3: Cross multiply
    86,268x = 187,723 × 187,723
  4. Step 4: Simplify right side
    86,268x = 35,239,924,729
  5. Step 5: Solve for x
    x = 35,239,924,729/86,268
  6. Step 6: Final answer
    x = 408,493.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.