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Finding the Third Proportional to 6.49 and 13.45

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Solution

The third proportional to 6.49 and 13.45 is: 27.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.49 : 13.45 = 13.45 : x
  2. Step 2: Convert to fraction form
    6.49/13.45 = 13.45/x
  3. Step 3: Cross multiply
    6.49x = 13.45 × 13.45
  4. Step 4: Simplify right side
    6.49x = 180.95
  5. Step 5: Solve for x
    x = 180.95/6.49
  6. Step 6: Final answer
    x = 27.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.