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Finding the Third Proportional to 21.98 and 23.67

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Solution

The third proportional to 21.98 and 23.67 is: 25.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.98 : 23.67 = 23.67 : x
  2. Step 2: Convert to fraction form
    21.98/23.67 = 23.67/x
  3. Step 3: Cross multiply
    21.98x = 23.67 × 23.67
  4. Step 4: Simplify right side
    21.98x = 560.48
  5. Step 5: Solve for x
    x = 560.48/21.98
  6. Step 6: Final answer
    x = 25.50

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.