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Finding the Third Proportional to 7.14 and 14.84

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Solution

The third proportional to 7.14 and 14.84 is: 30.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.14 : 14.84 = 14.84 : x
  2. Step 2: Convert to fraction form
    7.14/14.84 = 14.84/x
  3. Step 3: Cross multiply
    7.14x = 14.84 × 14.84
  4. Step 4: Simplify right side
    7.14x = 220.33
  5. Step 5: Solve for x
    x = 220.33/7.14
  6. Step 6: Final answer
    x = 30.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.