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Finding the Third Proportional to 21.94 and 28.97

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Solution

The third proportional to 21.94 and 28.97 is: 38.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 28.97 = 28.97 : x
  2. Step 2: Convert to fraction form
    21.94/28.97 = 28.97/x
  3. Step 3: Cross multiply
    21.94x = 28.97 × 28.97
  4. Step 4: Simplify right side
    21.94x = 839.19
  5. Step 5: Solve for x
    x = 839.19/21.94
  6. Step 6: Final answer
    x = 38.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.