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Finding the Third Proportional to 19.69 and 27.28

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Solution

The third proportional to 19.69 and 27.28 is: 37.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.69 : 27.28 = 27.28 : x
  2. Step 2: Convert to fraction form
    19.69/27.28 = 27.28/x
  3. Step 3: Cross multiply
    19.69x = 27.28 × 27.28
  4. Step 4: Simplify right side
    19.69x = 744.27
  5. Step 5: Solve for x
    x = 744.27/19.69
  6. Step 6: Final answer
    x = 37.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.