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Finding the Third Proportional to 13.28 and 29.09

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Solution

The third proportional to 13.28 and 29.09 is: 63.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.28 : 29.09 = 29.09 : x
  2. Step 2: Convert to fraction form
    13.28/29.09 = 29.09/x
  3. Step 3: Cross multiply
    13.28x = 29.09 × 29.09
  4. Step 4: Simplify right side
    13.28x = 846.45
  5. Step 5: Solve for x
    x = 846.45/13.28
  6. Step 6: Final answer
    x = 63.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.