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Finding the Third Proportional to 111.03 and 212.84

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Solution

The third proportional to 111.03 and 212.84 is: 408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.03 : 212.84 = 212.84 : x
  2. Step 2: Convert to fraction form
    111.03/212.84 = 212.84/x
  3. Step 3: Cross multiply
    111.03x = 212.84 × 212.84
  4. Step 4: Simplify right side
    111.03x = 45,302.46
  5. Step 5: Solve for x
    x = 45,302.46/111.03
  6. Step 6: Final answer
    x = 408.02

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.