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Finding the Third Proportional to 15.44 and 21.59

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Solution

The third proportional to 15.44 and 21.59 is: 30.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.44 : 21.59 = 21.59 : x
  2. Step 2: Convert to fraction form
    15.44/21.59 = 21.59/x
  3. Step 3: Cross multiply
    15.44x = 21.59 × 21.59
  4. Step 4: Simplify right side
    15.44x = 466.29
  5. Step 5: Solve for x
    x = 466.29/15.44
  6. Step 6: Final answer
    x = 30.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.