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Finding the Third Proportional to 143,615 and 201,245

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Solution

The third proportional to 143,615 and 201,245 is: 282,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,615 : 201,245 = 201,245 : x
  2. Step 2: Convert to fraction form
    143,615/201,245 = 201,245/x
  3. Step 3: Cross multiply
    143,615x = 201,245 × 201,245
  4. Step 4: Simplify right side
    143,615x = 40,499,550,025
  5. Step 5: Solve for x
    x = 40,499,550,025/143,615
  6. Step 6: Final answer
    x = 282,000.84

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Why These Related Problems?

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