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Finding the Third Proportional to 100.88 and 211.41

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Solution

The third proportional to 100.88 and 211.41 is: 443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 211.41 = 211.41 : x
  2. Step 2: Convert to fraction form
    100.88/211.41 = 211.41/x
  3. Step 3: Cross multiply
    100.88x = 211.41 × 211.41
  4. Step 4: Simplify right side
    100.88x = 44,692.60
  5. Step 5: Solve for x
    x = 44,692.60/100.88
  6. Step 6: Final answer
    x = 443.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.