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Finding the Third Proportional to 13.24 and 34.77

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Solution

The third proportional to 13.24 and 34.77 is: 91.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 34.77 = 34.77 : x
  2. Step 2: Convert to fraction form
    13.24/34.77 = 34.77/x
  3. Step 3: Cross multiply
    13.24x = 34.77 × 34.77
  4. Step 4: Simplify right side
    13.24x = 1,209.16
  5. Step 5: Solve for x
    x = 1,209.16/13.24
  6. Step 6: Final answer
    x = 91.31

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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.