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Finding the Third Proportional to 213.89 and 437.91

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Solution

The third proportional to 213.89 and 437.91 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.89 : 437.91 = 437.91 : x
  2. Step 2: Convert to fraction form
    213.89/437.91 = 437.91/x
  3. Step 3: Cross multiply
    213.89x = 437.91 × 437.91
  4. Step 4: Simplify right side
    213.89x = 191,761.88
  5. Step 5: Solve for x
    x = 191,761.88/213.89
  6. Step 6: Final answer
    x = 896.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.