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Finding the Third Proportional to 23.78 and 26.03

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Solution

The third proportional to 23.78 and 26.03 is: 28.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.78 : 26.03 = 26.03 : x
  2. Step 2: Convert to fraction form
    23.78/26.03 = 26.03/x
  3. Step 3: Cross multiply
    23.78x = 26.03 × 26.03
  4. Step 4: Simplify right side
    23.78x = 677.63
  5. Step 5: Solve for x
    x = 677.63/23.78
  6. Step 6: Final answer
    x = 28.49

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.