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Finding the Third Proportional to 6.19 and 13.43

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Solution

The third proportional to 6.19 and 13.43 is: 29.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.19 : 13.43 = 13.43 : x
  2. Step 2: Convert to fraction form
    6.19/13.43 = 13.43/x
  3. Step 3: Cross multiply
    6.19x = 13.43 × 13.43
  4. Step 4: Simplify right side
    6.19x = 180.36
  5. Step 5: Solve for x
    x = 180.36/6.19
  6. Step 6: Final answer
    x = 29.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.