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Finding the Third Proportional to 203,115.50 and 440,129.25

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Solution

The third proportional to 203,115.50 and 440,129.25 is: 953,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,115.50 : 440,129.25 = 440,129.25 : x
  2. Step 2: Convert to fraction form
    203,115.50/440,129.25 = 440,129.25/x
  3. Step 3: Cross multiply
    203,115.50x = 440,129.25 × 440,129.25
  4. Step 4: Simplify right side
    203,115.50x = 193,713,756,705.56
  5. Step 5: Solve for x
    x = 193,713,756,705.56/203,115.50
  6. Step 6: Final answer
    x = 953,712.33

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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.