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Finding the Third Proportional to 14.12 and 30.61

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Solution

The third proportional to 14.12 and 30.61 is: 66.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.12 : 30.61 = 30.61 : x
  2. Step 2: Convert to fraction form
    14.12/30.61 = 30.61/x
  3. Step 3: Cross multiply
    14.12x = 30.61 × 30.61
  4. Step 4: Simplify right side
    14.12x = 937.11
  5. Step 5: Solve for x
    x = 937.11/14.12
  6. Step 6: Final answer
    x = 66.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.