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Finding the Third Proportional to 13.21 and 27.90

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Solution

The third proportional to 13.21 and 27.90 is: 58.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.21 : 27.90 = 27.90 : x
  2. Step 2: Convert to fraction form
    13.21/27.90 = 27.90/x
  3. Step 3: Cross multiply
    13.21x = 27.90 × 27.90
  4. Step 4: Simplify right side
    13.21x = 778.31
  5. Step 5: Solve for x
    x = 778.31/13.21
  6. Step 6: Final answer
    x = 58.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.