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Finding the Third Proportional to 50,448.50 and 76,056.75

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Solution

The third proportional to 50,448.50 and 76,056.75 is: 114,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.50 : 76,056.75 = 76,056.75 : x
  2. Step 2: Convert to fraction form
    50,448.50/76,056.75 = 76,056.75/x
  3. Step 3: Cross multiply
    50,448.50x = 76,056.75 × 76,056.75
  4. Step 4: Simplify right side
    50,448.50x = 5,784,629,220.56
  5. Step 5: Solve for x
    x = 5,784,629,220.56/50,448.50
  6. Step 6: Final answer
    x = 114,664.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.