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Finding the Third Proportional to 143,425.50 and 311,727

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Solution

The third proportional to 143,425.50 and 311,727 is: 677,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,425.50 : 311,727 = 311,727 : x
  2. Step 2: Convert to fraction form
    143,425.50/311,727 = 311,727/x
  3. Step 3: Cross multiply
    143,425.50x = 311,727 × 311,727
  4. Step 4: Simplify right side
    143,425.50x = 97,173,722,529
  5. Step 5: Solve for x
    x = 97,173,722,529/143,425.50
  6. Step 6: Final answer
    x = 677,520.54

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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.