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Finding the Third Proportional to 143,251.03 and 311,143.78

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Solution

The third proportional to 143,251.03 and 311,143.78 is: 675,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,251.03 : 311,143.78 = 311,143.78 : x
  2. Step 2: Convert to fraction form
    143,251.03/311,143.78 = 311,143.78/x
  3. Step 3: Cross multiply
    143,251.03x = 311,143.78 × 311,143.78
  4. Step 4: Simplify right side
    143,251.03x = 96,810,452,610.55
  5. Step 5: Solve for x
    x = 96,810,452,610.55/143,251.03
  6. Step 6: Final answer
    x = 675,809.81

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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.