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Finding the Third Proportional to 50,716.50 and 78,945.19

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Solution

The third proportional to 50,716.50 and 78,945.19 is: 122,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716.50 : 78,945.19 = 78,945.19 : x
  2. Step 2: Convert to fraction form
    50,716.50/78,945.19 = 78,945.19/x
  3. Step 3: Cross multiply
    50,716.50x = 78,945.19 × 78,945.19
  4. Step 4: Simplify right side
    50,716.50x = 6,232,342,629.41
  5. Step 5: Solve for x
    x = 6,232,342,629.41/50,716.50
  6. Step 6: Final answer
    x = 122,885.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.