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Finding the Third Proportional to 21.42 and 28.56

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Solution

The third proportional to 21.42 and 28.56 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.42 : 28.56 = 28.56 : x
  2. Step 2: Convert to fraction form
    21.42/28.56 = 28.56/x
  3. Step 3: Cross multiply
    21.42x = 28.56 × 28.56
  4. Step 4: Simplify right side
    21.42x = 815.65
  5. Step 5: Solve for x
    x = 815.65/21.42
  6. Step 6: Final answer
    x = 38.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.