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Finding the Third Proportional to 144.70 and 213.05

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Solution

The third proportional to 144.70 and 213.05 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.70 : 213.05 = 213.05 : x
  2. Step 2: Convert to fraction form
    144.70/213.05 = 213.05/x
  3. Step 3: Cross multiply
    144.70x = 213.05 × 213.05
  4. Step 4: Simplify right side
    144.70x = 45,388.97
  5. Step 5: Solve for x
    x = 45,388.97/144.70
  6. Step 6: Final answer
    x = 313.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.