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Finding the Third Proportional to 4.14 and 8.82

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Solution

The third proportional to 4.14 and 8.82 is: 18.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.14 : 8.82 = 8.82 : x
  2. Step 2: Convert to fraction form
    4.14/8.82 = 8.82/x
  3. Step 3: Cross multiply
    4.14x = 8.82 × 8.82
  4. Step 4: Simplify right side
    4.14x = 77.80
  5. Step 5: Solve for x
    x = 77.80/4.14
  6. Step 6: Final answer
    x = 18.78

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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.