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Finding the Third Proportional to 86,309 and 184,611

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Solution

The third proportional to 86,309 and 184,611 is: 394,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,309 : 184,611 = 184,611 : x
  2. Step 2: Convert to fraction form
    86,309/184,611 = 184,611/x
  3. Step 3: Cross multiply
    86,309x = 184,611 × 184,611
  4. Step 4: Simplify right side
    86,309x = 34,081,221,321
  5. Step 5: Solve for x
    x = 34,081,221,321/86,309
  6. Step 6: Final answer
    x = 394,874.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.