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Finding the Third Proportional to 6.94 and 15.45

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Solution

The third proportional to 6.94 and 15.45 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.94 : 15.45 = 15.45 : x
  2. Step 2: Convert to fraction form
    6.94/15.45 = 15.45/x
  3. Step 3: Cross multiply
    6.94x = 15.45 × 15.45
  4. Step 4: Simplify right side
    6.94x = 238.66
  5. Step 5: Solve for x
    x = 238.66/6.94
  6. Step 6: Final answer
    x = 34.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.