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Finding the Third Proportional to 5.09 and 13.37

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Solution

The third proportional to 5.09 and 13.37 is: 35.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.09 : 13.37 = 13.37 : x
  2. Step 2: Convert to fraction form
    5.09/13.37 = 13.37/x
  3. Step 3: Cross multiply
    5.09x = 13.37 × 13.37
  4. Step 4: Simplify right side
    5.09x = 178.76
  5. Step 5: Solve for x
    x = 178.76/5.09
  6. Step 6: Final answer
    x = 35.11

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.