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Finding the Third Proportional to 13.08 and 18.56

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Solution

The third proportional to 13.08 and 18.56 is: 26.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.08 : 18.56 = 18.56 : x
  2. Step 2: Convert to fraction form
    13.08/18.56 = 18.56/x
  3. Step 3: Cross multiply
    13.08x = 18.56 × 18.56
  4. Step 4: Simplify right side
    13.08x = 344.57
  5. Step 5: Solve for x
    x = 344.57/13.08
  6. Step 6: Final answer
    x = 26.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.