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Finding the Third Proportional to 28.72 and 34.84

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Solution

The third proportional to 28.72 and 34.84 is: 42.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.72 : 34.84 = 34.84 : x
  2. Step 2: Convert to fraction form
    28.72/34.84 = 34.84/x
  3. Step 3: Cross multiply
    28.72x = 34.84 × 34.84
  4. Step 4: Simplify right side
    28.72x = 1,214.09
  5. Step 5: Solve for x
    x = 1,214.09/28.72
  6. Step 6: Final answer
    x = 42.28

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.