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Finding the Third Proportional to 4.19 and 8.79

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Solution

The third proportional to 4.19 and 8.79 is: 18.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 8.79 = 8.79 : x
  2. Step 2: Convert to fraction form
    4.19/8.79 = 8.79/x
  3. Step 3: Cross multiply
    4.19x = 8.79 × 8.79
  4. Step 4: Simplify right side
    4.19x = 77.35
  5. Step 5: Solve for x
    x = 77.35/4.19
  6. Step 6: Final answer
    x = 18.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.