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Finding the Third Proportional to 144.91 and 210.73

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Solution

The third proportional to 144.91 and 210.73 is: 306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.91 : 210.73 = 210.73 : x
  2. Step 2: Convert to fraction form
    144.91/210.73 = 210.73/x
  3. Step 3: Cross multiply
    144.91x = 210.73 × 210.73
  4. Step 4: Simplify right side
    144.91x = 44,405.68
  5. Step 5: Solve for x
    x = 44,405.68/144.91
  6. Step 6: Final answer
    x = 306.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.