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Finding the Third Proportional to 50,896 and 76,110

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Solution

The third proportional to 50,896 and 76,110 is: 113,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896 : 76,110 = 76,110 : x
  2. Step 2: Convert to fraction form
    50,896/76,110 = 76,110/x
  3. Step 3: Cross multiply
    50,896x = 76,110 × 76,110
  4. Step 4: Simplify right side
    50,896x = 5,792,732,100
  5. Step 5: Solve for x
    x = 5,792,732,100/50,896
  6. Step 6: Final answer
    x = 113,815.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.