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Finding the Third Proportional to 28.42 and 61.80

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Solution

The third proportional to 28.42 and 61.80 is: 134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.42 : 61.80 = 61.80 : x
  2. Step 2: Convert to fraction form
    28.42/61.80 = 61.80/x
  3. Step 3: Cross multiply
    28.42x = 61.80 × 61.80
  4. Step 4: Simplify right side
    28.42x = 3,819.82
  5. Step 5: Solve for x
    x = 3,819.82/28.42
  6. Step 6: Final answer
    x = 134.39

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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.