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Finding the Third Proportional to 203,949 and 437,421.50

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Solution

The third proportional to 203,949 and 437,421.50 is: 938,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,949 : 437,421.50 = 437,421.50 : x
  2. Step 2: Convert to fraction form
    203,949/437,421.50 = 437,421.50/x
  3. Step 3: Cross multiply
    203,949x = 437,421.50 × 437,421.50
  4. Step 4: Simplify right side
    203,949x = 191,337,568,662.25
  5. Step 5: Solve for x
    x = 191,337,568,662.25/203,949
  6. Step 6: Final answer
    x = 938,163.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.