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Finding the Third Proportional to 211.69 and 331.78

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Solution

The third proportional to 211.69 and 331.78 is: 520.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.69 : 331.78 = 331.78 : x
  2. Step 2: Convert to fraction form
    211.69/331.78 = 331.78/x
  3. Step 3: Cross multiply
    211.69x = 331.78 × 331.78
  4. Step 4: Simplify right side
    211.69x = 110,078.80
  5. Step 5: Solve for x
    x = 110,078.80/211.69
  6. Step 6: Final answer
    x = 520.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.