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Finding the Third Proportional to 57,408.75 and 90,942.75

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Solution

The third proportional to 57,408.75 and 90,942.75 is: 144,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.75 : 90,942.75 = 90,942.75 : x
  2. Step 2: Convert to fraction form
    57,408.75/90,942.75 = 90,942.75/x
  3. Step 3: Cross multiply
    57,408.75x = 90,942.75 × 90,942.75
  4. Step 4: Simplify right side
    57,408.75x = 8,270,583,777.56
  5. Step 5: Solve for x
    x = 8,270,583,777.56/57,408.75
  6. Step 6: Final answer
    x = 144,064.86

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.