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Finding the Third Proportional to 86,646 and 188,961

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Solution

The third proportional to 86,646 and 188,961 is: 412,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,646 : 188,961 = 188,961 : x
  2. Step 2: Convert to fraction form
    86,646/188,961 = 188,961/x
  3. Step 3: Cross multiply
    86,646x = 188,961 × 188,961
  4. Step 4: Simplify right side
    86,646x = 35,706,259,521
  5. Step 5: Solve for x
    x = 35,706,259,521/86,646
  6. Step 6: Final answer
    x = 412,093.57

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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.