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Finding the Third Proportional to 203,586.50 and 443,313

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Solution

The third proportional to 203,586.50 and 443,313 is: 965,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,586.50 : 443,313 = 443,313 : x
  2. Step 2: Convert to fraction form
    203,586.50/443,313 = 443,313/x
  3. Step 3: Cross multiply
    203,586.50x = 443,313 × 443,313
  4. Step 4: Simplify right side
    203,586.50x = 196,526,415,969
  5. Step 5: Solve for x
    x = 196,526,415,969/203,586.50
  6. Step 6: Final answer
    x = 965,321.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.