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Finding the Third Proportional to 203,857.50 and 441,735

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Solution

The third proportional to 203,857.50 and 441,735 is: 957,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.50 : 441,735 = 441,735 : x
  2. Step 2: Convert to fraction form
    203,857.50/441,735 = 441,735/x
  3. Step 3: Cross multiply
    203,857.50x = 441,735 × 441,735
  4. Step 4: Simplify right side
    203,857.50x = 195,129,810,225
  5. Step 5: Solve for x
    x = 195,129,810,225/203,857.50
  6. Step 6: Final answer
    x = 957,187.30

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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.