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Finding the Third Proportional to 27.05 and 58.73

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Solution

The third proportional to 27.05 and 58.73 is: 127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 58.73 = 58.73 : x
  2. Step 2: Convert to fraction form
    27.05/58.73 = 58.73/x
  3. Step 3: Cross multiply
    27.05x = 58.73 × 58.73
  4. Step 4: Simplify right side
    27.05x = 3,449.55
  5. Step 5: Solve for x
    x = 3,449.55/27.05
  6. Step 6: Final answer
    x = 127.51

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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.