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Finding the Third Proportional to 6.13 and 13.35

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Solution

The third proportional to 6.13 and 13.35 is: 29.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 13.35 = 13.35 : x
  2. Step 2: Convert to fraction form
    6.13/13.35 = 13.35/x
  3. Step 3: Cross multiply
    6.13x = 13.35 × 13.35
  4. Step 4: Simplify right side
    6.13x = 178.23
  5. Step 5: Solve for x
    x = 178.23/6.13
  6. Step 6: Final answer
    x = 29.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.