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Finding the Third Proportional to 14.14 and 31.12

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Solution

The third proportional to 14.14 and 31.12 is: 68.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 31.12 = 31.12 : x
  2. Step 2: Convert to fraction form
    14.14/31.12 = 31.12/x
  3. Step 3: Cross multiply
    14.14x = 31.12 × 31.12
  4. Step 4: Simplify right side
    14.14x = 968.58
  5. Step 5: Solve for x
    x = 968.58/14.14
  6. Step 6: Final answer
    x = 68.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.