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Finding the Third Proportional to 19 and 40.44

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Solution

The third proportional to 19 and 40.44 is: 86.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 40.44 = 40.44 : x
  2. Step 2: Convert to fraction form
    19/40.44 = 40.44/x
  3. Step 3: Cross multiply
    19x = 40.44 × 40.44
  4. Step 4: Simplify right side
    19x = 1,635.19
  5. Step 5: Solve for x
    x = 1,635.19/19
  6. Step 6: Final answer
    x = 86.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.