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Finding the Third Proportional to 86,122 and 189,218

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Solution

The third proportional to 86,122 and 189,218 is: 415,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,122 : 189,218 = 189,218 : x
  2. Step 2: Convert to fraction form
    86,122/189,218 = 189,218/x
  3. Step 3: Cross multiply
    86,122x = 189,218 × 189,218
  4. Step 4: Simplify right side
    86,122x = 35,803,451,524
  5. Step 5: Solve for x
    x = 35,803,451,524/86,122
  6. Step 6: Final answer
    x = 415,729.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.