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Finding the Third Proportional to 143,491.50 and 200,611.69

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Solution

The third proportional to 143,491.50 and 200,611.69 is: 280,469.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,491.50 : 200,611.69 = 200,611.69 : x
  2. Step 2: Convert to fraction form
    143,491.50/200,611.69 = 200,611.69/x
  3. Step 3: Cross multiply
    143,491.50x = 200,611.69 × 200,611.69
  4. Step 4: Simplify right side
    143,491.50x = 40,245,049,161.60
  5. Step 5: Solve for x
    x = 40,245,049,161.60/143,491.50
  6. Step 6: Final answer
    x = 280,469.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.