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Finding the Third Proportional to 213.05 and 233.93

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Solution

The third proportional to 213.05 and 233.93 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 233.93 = 233.93 : x
  2. Step 2: Convert to fraction form
    213.05/233.93 = 233.93/x
  3. Step 3: Cross multiply
    213.05x = 233.93 × 233.93
  4. Step 4: Simplify right side
    213.05x = 54,723.10
  5. Step 5: Solve for x
    x = 54,723.10/213.05
  6. Step 6: Final answer
    x = 256.86

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.