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Finding the Third Proportional to 19.35 and 30.44

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Solution

The third proportional to 19.35 and 30.44 is: 47.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.35 : 30.44 = 30.44 : x
  2. Step 2: Convert to fraction form
    19.35/30.44 = 30.44/x
  3. Step 3: Cross multiply
    19.35x = 30.44 × 30.44
  4. Step 4: Simplify right side
    19.35x = 926.50
  5. Step 5: Solve for x
    x = 926.50/19.35
  6. Step 6: Final answer
    x = 47.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.