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Finding the Third Proportional to 129,936 and 283,848

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Solution

The third proportional to 129,936 and 283,848 is: 620,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,936 : 283,848 = 283,848 : x
  2. Step 2: Convert to fraction form
    129,936/283,848 = 283,848/x
  3. Step 3: Cross multiply
    129,936x = 283,848 × 283,848
  4. Step 4: Simplify right side
    129,936x = 80,569,687,104
  5. Step 5: Solve for x
    x = 80,569,687,104/129,936
  6. Step 6: Final answer
    x = 620,072.09

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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.