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Finding the Third Proportional to 203,116.50 and 440,131.75

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Solution

The third proportional to 203,116.50 and 440,131.75 is: 953,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,116.50 : 440,131.75 = 440,131.75 : x
  2. Step 2: Convert to fraction form
    203,116.50/440,131.75 = 440,131.75/x
  3. Step 3: Cross multiply
    203,116.50x = 440,131.75 × 440,131.75
  4. Step 4: Simplify right side
    203,116.50x = 193,715,957,358.06
  5. Step 5: Solve for x
    x = 193,715,957,358.06/203,116.50
  6. Step 6: Final answer
    x = 953,718.47

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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.