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Finding the Third Proportional to 2.14 and 4.33

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Solution

The third proportional to 2.14 and 4.33 is: 8.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 4.33 = 4.33 : x
  2. Step 2: Convert to fraction form
    2.14/4.33 = 4.33/x
  3. Step 3: Cross multiply
    2.14x = 4.33 × 4.33
  4. Step 4: Simplify right side
    2.14x = 18.76
  5. Step 5: Solve for x
    x = 18.76/2.14
  6. Step 6: Final answer
    x = 8.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.