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Finding the Third Proportional to 27.21 and 53.79

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Solution

The third proportional to 27.21 and 53.79 is: 106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.21 : 53.79 = 53.79 : x
  2. Step 2: Convert to fraction form
    27.21/53.79 = 53.79/x
  3. Step 3: Cross multiply
    27.21x = 53.79 × 53.79
  4. Step 4: Simplify right side
    27.21x = 2,893.26
  5. Step 5: Solve for x
    x = 2,893.26/27.21
  6. Step 6: Final answer
    x = 106.33

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.