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Finding the Third Proportional to 22.78 and 34.80

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Solution

The third proportional to 22.78 and 34.80 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 34.80 = 34.80 : x
  2. Step 2: Convert to fraction form
    22.78/34.80 = 34.80/x
  3. Step 3: Cross multiply
    22.78x = 34.80 × 34.80
  4. Step 4: Simplify right side
    22.78x = 1,211.37
  5. Step 5: Solve for x
    x = 1,211.37/22.78
  6. Step 6: Final answer
    x = 53.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.