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Finding the Third Proportional to 22.78 and 27.21

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Solution

The third proportional to 22.78 and 27.21 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 27.21 = 27.21 : x
  2. Step 2: Convert to fraction form
    22.78/27.21 = 27.21/x
  3. Step 3: Cross multiply
    22.78x = 27.21 × 27.21
  4. Step 4: Simplify right side
    22.78x = 740.44
  5. Step 5: Solve for x
    x = 740.44/22.78
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.