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Finding the Third Proportional to 27.98 and 58.54

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Solution

The third proportional to 27.98 and 58.54 is: 122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.98 : 58.54 = 58.54 : x
  2. Step 2: Convert to fraction form
    27.98/58.54 = 58.54/x
  3. Step 3: Cross multiply
    27.98x = 58.54 × 58.54
  4. Step 4: Simplify right side
    27.98x = 3,426.36
  5. Step 5: Solve for x
    x = 3,426.36/27.98
  6. Step 6: Final answer
    x = 122.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.