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Finding the Third Proportional to 13.72 and 29.03

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Solution

The third proportional to 13.72 and 29.03 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.72 : 29.03 = 29.03 : x
  2. Step 2: Convert to fraction form
    13.72/29.03 = 29.03/x
  3. Step 3: Cross multiply
    13.72x = 29.03 × 29.03
  4. Step 4: Simplify right side
    13.72x = 842.84
  5. Step 5: Solve for x
    x = 842.84/13.72
  6. Step 6: Final answer
    x = 61.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.