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Finding the Third Proportional to 27.28 and 58.92

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Solution

The third proportional to 27.28 and 58.92 is: 127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.28 : 58.92 = 58.92 : x
  2. Step 2: Convert to fraction form
    27.28/58.92 = 58.92/x
  3. Step 3: Cross multiply
    27.28x = 58.92 × 58.92
  4. Step 4: Simplify right side
    27.28x = 3,471.79
  5. Step 5: Solve for x
    x = 3,471.79/27.28
  6. Step 6: Final answer
    x = 127.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.