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Finding the Third Proportional to 51,432 and 105,936

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Solution

The third proportional to 51,432 and 105,936 is: 218,199.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 105,936 = 105,936 : x
  2. Step 2: Convert to fraction form
    51,432/105,936 = 105,936/x
  3. Step 3: Cross multiply
    51,432x = 105,936 × 105,936
  4. Step 4: Simplify right side
    51,432x = 11,222,436,096
  5. Step 5: Solve for x
    x = 11,222,436,096/51,432
  6. Step 6: Final answer
    x = 218,199.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.