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Finding the Third Proportional to 120,183.50 and 174,078.75

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Solution

The third proportional to 120,183.50 and 174,078.75 is: 252,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,183.50 : 174,078.75 = 174,078.75 : x
  2. Step 2: Convert to fraction form
    120,183.50/174,078.75 = 174,078.75/x
  3. Step 3: Cross multiply
    120,183.50x = 174,078.75 × 174,078.75
  4. Step 4: Simplify right side
    120,183.50x = 30,303,411,201.56
  5. Step 5: Solve for x
    x = 30,303,411,201.56/120,183.50
  6. Step 6: Final answer
    x = 252,142.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.