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Finding the Third Proportional to 49,144.50 and 73,541.25

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Solution

The third proportional to 49,144.50 and 73,541.25 is: 110,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,144.50 : 73,541.25 = 73,541.25 : x
  2. Step 2: Convert to fraction form
    49,144.50/73,541.25 = 73,541.25/x
  3. Step 3: Cross multiply
    49,144.50x = 73,541.25 × 73,541.25
  4. Step 4: Simplify right side
    49,144.50x = 5,408,315,451.56
  5. Step 5: Solve for x
    x = 5,408,315,451.56/49,144.50
  6. Step 6: Final answer
    x = 110,049.25

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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.