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Finding the Third Proportional to 6.16 and 13.40

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Solution

The third proportional to 6.16 and 13.40 is: 29.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 13.40 = 13.40 : x
  2. Step 2: Convert to fraction form
    6.16/13.40 = 13.40/x
  3. Step 3: Cross multiply
    6.16x = 13.40 × 13.40
  4. Step 4: Simplify right side
    6.16x = 179.43
  5. Step 5: Solve for x
    x = 179.43/6.16
  6. Step 6: Final answer
    x = 29.11

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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.