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Finding the Third Proportional to 21.05 and 23.54

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Solution

The third proportional to 21.05 and 23.54 is: 26.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.05 : 23.54 = 23.54 : x
  2. Step 2: Convert to fraction form
    21.05/23.54 = 23.54/x
  3. Step 3: Cross multiply
    21.05x = 23.54 × 23.54
  4. Step 4: Simplify right side
    21.05x = 554.24
  5. Step 5: Solve for x
    x = 554.24/21.05
  6. Step 6: Final answer
    x = 26.34

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.