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Finding the Third Proportional to 50,406.50 and 78,399.75

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Solution

The third proportional to 50,406.50 and 78,399.75 is: 121,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,406.50 : 78,399.75 = 78,399.75 : x
  2. Step 2: Convert to fraction form
    50,406.50/78,399.75 = 78,399.75/x
  3. Step 3: Cross multiply
    50,406.50x = 78,399.75 × 78,399.75
  4. Step 4: Simplify right side
    50,406.50x = 6,146,520,800.06
  5. Step 5: Solve for x
    x = 6,146,520,800.06/50,406.50
  6. Step 6: Final answer
    x = 121,939.05

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