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Finding the Third Proportional to 21.50 and 34.44

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Solution

The third proportional to 21.50 and 34.44 is: 55.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.50 : 34.44 = 34.44 : x
  2. Step 2: Convert to fraction form
    21.50/34.44 = 34.44/x
  3. Step 3: Cross multiply
    21.50x = 34.44 × 34.44
  4. Step 4: Simplify right side
    21.50x = 1,185.94
  5. Step 5: Solve for x
    x = 1,185.94/21.50
  6. Step 6: Final answer
    x = 55.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.