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Finding the Third Proportional to 213.63 and 326.88

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Solution

The third proportional to 213.63 and 326.88 is: 500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.63 : 326.88 = 326.88 : x
  2. Step 2: Convert to fraction form
    213.63/326.88 = 326.88/x
  3. Step 3: Cross multiply
    213.63x = 326.88 × 326.88
  4. Step 4: Simplify right side
    213.63x = 106,847.27
  5. Step 5: Solve for x
    x = 106,847.27/213.63
  6. Step 6: Final answer
    x = 500.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.