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Finding the Third Proportional to 1.99 and 4.27

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Solution

The third proportional to 1.99 and 4.27 is: 9.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.99 : 4.27 = 4.27 : x
  2. Step 2: Convert to fraction form
    1.99/4.27 = 4.27/x
  3. Step 3: Cross multiply
    1.99x = 4.27 × 4.27
  4. Step 4: Simplify right side
    1.99x = 18.27
  5. Step 5: Solve for x
    x = 18.27/1.99
  6. Step 6: Final answer
    x = 9.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.