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Finding the Third Proportional to 13.57 and 18.79

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Solution

The third proportional to 13.57 and 18.79 is: 26.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.57 : 18.79 = 18.79 : x
  2. Step 2: Convert to fraction form
    13.57/18.79 = 18.79/x
  3. Step 3: Cross multiply
    13.57x = 18.79 × 18.79
  4. Step 4: Simplify right side
    13.57x = 352.91
  5. Step 5: Solve for x
    x = 352.91/13.57
  6. Step 6: Final answer
    x = 26.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.