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Finding the Third Proportional to 203,609.50 and 438,771.50

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Solution

The third proportional to 203,609.50 and 438,771.50 is: 945,537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,609.50 : 438,771.50 = 438,771.50 : x
  2. Step 2: Convert to fraction form
    203,609.50/438,771.50 = 438,771.50/x
  3. Step 3: Cross multiply
    203,609.50x = 438,771.50 × 438,771.50
  4. Step 4: Simplify right side
    203,609.50x = 192,520,429,212.25
  5. Step 5: Solve for x
    x = 192,520,429,212.25/203,609.50
  6. Step 6: Final answer
    x = 945,537.56

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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.