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Finding the Third Proportional to 203,142 and 437,502.75

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Solution

The third proportional to 203,142 and 437,502.75 is: 942,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142 : 437,502.75 = 437,502.75 : x
  2. Step 2: Convert to fraction form
    203,142/437,502.75 = 437,502.75/x
  3. Step 3: Cross multiply
    203,142x = 437,502.75 × 437,502.75
  4. Step 4: Simplify right side
    203,142x = 191,408,656,257.56
  5. Step 5: Solve for x
    x = 191,408,656,257.56/203,142
  6. Step 6: Final answer
    x = 942,240.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.