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Finding the Third Proportional to 28.93 and 61.97

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Solution

The third proportional to 28.93 and 61.97 is: 132.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.93 : 61.97 = 61.97 : x
  2. Step 2: Convert to fraction form
    28.93/61.97 = 61.97/x
  3. Step 3: Cross multiply
    28.93x = 61.97 × 61.97
  4. Step 4: Simplify right side
    28.93x = 3,840.49
  5. Step 5: Solve for x
    x = 3,840.49/28.93
  6. Step 6: Final answer
    x = 132.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.