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Finding the Third Proportional to 102.52 and 211.44

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Solution

The third proportional to 102.52 and 211.44 is: 436.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.52 : 211.44 = 211.44 : x
  2. Step 2: Convert to fraction form
    102.52/211.44 = 211.44/x
  3. Step 3: Cross multiply
    102.52x = 211.44 × 211.44
  4. Step 4: Simplify right side
    102.52x = 44,706.23
  5. Step 5: Solve for x
    x = 44,706.23/102.52
  6. Step 6: Final answer
    x = 436.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.