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Finding the Third Proportional to 81,168 and 186,408

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Solution

The third proportional to 81,168 and 186,408 is: 428,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,168 : 186,408 = 186,408 : x
  2. Step 2: Convert to fraction form
    81,168/186,408 = 186,408/x
  3. Step 3: Cross multiply
    81,168x = 186,408 × 186,408
  4. Step 4: Simplify right side
    81,168x = 34,747,942,464
  5. Step 5: Solve for x
    x = 34,747,942,464/81,168
  6. Step 6: Final answer
    x = 428,099.03

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.