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Finding the Third Proportional to 143,408 and 215,652

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Solution

The third proportional to 143,408 and 215,652 is: 324,290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,408 : 215,652 = 215,652 : x
  2. Step 2: Convert to fraction form
    143,408/215,652 = 215,652/x
  3. Step 3: Cross multiply
    143,408x = 215,652 × 215,652
  4. Step 4: Simplify right side
    143,408x = 46,505,785,104
  5. Step 5: Solve for x
    x = 46,505,785,104/143,408
  6. Step 6: Final answer
    x = 324,290.03

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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.