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Finding the Third Proportional to 19.92 and 28.08

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Solution

The third proportional to 19.92 and 28.08 is: 39.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.92 : 28.08 = 28.08 : x
  2. Step 2: Convert to fraction form
    19.92/28.08 = 28.08/x
  3. Step 3: Cross multiply
    19.92x = 28.08 × 28.08
  4. Step 4: Simplify right side
    19.92x = 788.38
  5. Step 5: Solve for x
    x = 788.38/19.92
  6. Step 6: Final answer
    x = 39.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.