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Finding the Third Proportional to 81,850.50 and 122,880.80

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Solution

The third proportional to 81,850.50 and 122,880.80 is: 184,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,850.50 : 122,880.80 = 122,880.80 : x
  2. Step 2: Convert to fraction form
    81,850.50/122,880.80 = 122,880.80/x
  3. Step 3: Cross multiply
    81,850.50x = 122,880.80 × 122,880.80
  4. Step 4: Simplify right side
    81,850.50x = 15,099,690,240.64
  5. Step 5: Solve for x
    x = 15,099,690,240.64/81,850.50
  6. Step 6: Final answer
    x = 184,478.90

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Why These Related Problems?

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