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Finding the Third Proportional to 13.01 and 30.12

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Solution

The third proportional to 13.01 and 30.12 is: 69.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.01 : 30.12 = 30.12 : x
  2. Step 2: Convert to fraction form
    13.01/30.12 = 30.12/x
  3. Step 3: Cross multiply
    13.01x = 30.12 × 30.12
  4. Step 4: Simplify right side
    13.01x = 906.94
  5. Step 5: Solve for x
    x = 906.94/13.01
  6. Step 6: Final answer
    x = 69.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.