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Finding the Third Proportional to 203,485.50 and 441,990

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Solution

The third proportional to 203,485.50 and 441,990 is: 960,044.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,485.50 : 441,990 = 441,990 : x
  2. Step 2: Convert to fraction form
    203,485.50/441,990 = 441,990/x
  3. Step 3: Cross multiply
    203,485.50x = 441,990 × 441,990
  4. Step 4: Simplify right side
    203,485.50x = 195,355,160,100
  5. Step 5: Solve for x
    x = 195,355,160,100/203,485.50
  6. Step 6: Final answer
    x = 960,044.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.