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Finding the Third Proportional to 2.95 and 6.96

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Solution

The third proportional to 2.95 and 6.96 is: 16.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.95 : 6.96 = 6.96 : x
  2. Step 2: Convert to fraction form
    2.95/6.96 = 6.96/x
  3. Step 3: Cross multiply
    2.95x = 6.96 × 6.96
  4. Step 4: Simplify right side
    2.95x = 48.45
  5. Step 5: Solve for x
    x = 48.45/2.95
  6. Step 6: Final answer
    x = 16.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.