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Finding the Third Proportional to 211.82 and 439.84

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Solution

The third proportional to 211.82 and 439.84 is: 913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.82 : 439.84 = 439.84 : x
  2. Step 2: Convert to fraction form
    211.82/439.84 = 439.84/x
  3. Step 3: Cross multiply
    211.82x = 439.84 × 439.84
  4. Step 4: Simplify right side
    211.82x = 193,459.09
  5. Step 5: Solve for x
    x = 193,459.09/211.82
  6. Step 6: Final answer
    x = 913.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.