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Finding the Third Proportional to 13.13 and 34.25

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Solution

The third proportional to 13.13 and 34.25 is: 89.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.13 : 34.25 = 34.25 : x
  2. Step 2: Convert to fraction form
    13.13/34.25 = 34.25/x
  3. Step 3: Cross multiply
    13.13x = 34.25 × 34.25
  4. Step 4: Simplify right side
    13.13x = 1,173.06
  5. Step 5: Solve for x
    x = 1,173.06/13.13
  6. Step 6: Final answer
    x = 89.38

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.