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Finding the Third Proportional to 143.09 and 189.01

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Solution

The third proportional to 143.09 and 189.01 is: 249.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.09 : 189.01 = 189.01 : x
  2. Step 2: Convert to fraction form
    143.09/189.01 = 189.01/x
  3. Step 3: Cross multiply
    143.09x = 189.01 × 189.01
  4. Step 4: Simplify right side
    143.09x = 35,725.98
  5. Step 5: Solve for x
    x = 35,725.98/143.09
  6. Step 6: Final answer
    x = 249.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.