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Finding the Third Proportional to 28.34 and 61.44

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Solution

The third proportional to 28.34 and 61.44 is: 133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.34 : 61.44 = 61.44 : x
  2. Step 2: Convert to fraction form
    28.34/61.44 = 61.44/x
  3. Step 3: Cross multiply
    28.34x = 61.44 × 61.44
  4. Step 4: Simplify right side
    28.34x = 3,774.33
  5. Step 5: Solve for x
    x = 3,774.33/28.34
  6. Step 6: Final answer
    x = 133.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.