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Finding the Third Proportional to 51,962 and 111,936.50

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Solution

The third proportional to 51,962 and 111,936.50 is: 241,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962 : 111,936.50 = 111,936.50 : x
  2. Step 2: Convert to fraction form
    51,962/111,936.50 = 111,936.50/x
  3. Step 3: Cross multiply
    51,962x = 111,936.50 × 111,936.50
  4. Step 4: Simplify right side
    51,962x = 12,529,780,032.25
  5. Step 5: Solve for x
    x = 12,529,780,032.25/51,962
  6. Step 6: Final answer
    x = 241,133.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.