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Finding the Third Proportional to 48,555 and 105,936

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Solution

The third proportional to 48,555 and 105,936 is: 231,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,555 : 105,936 = 105,936 : x
  2. Step 2: Convert to fraction form
    48,555/105,936 = 105,936/x
  3. Step 3: Cross multiply
    48,555x = 105,936 × 105,936
  4. Step 4: Simplify right side
    48,555x = 11,222,436,096
  5. Step 5: Solve for x
    x = 11,222,436,096/48,555
  6. Step 6: Final answer
    x = 231,128.33

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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.