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Finding the Third Proportional to 12.94 and 18.97

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Solution

The third proportional to 12.94 and 18.97 is: 27.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.94 : 18.97 = 18.97 : x
  2. Step 2: Convert to fraction form
    12.94/18.97 = 18.97/x
  3. Step 3: Cross multiply
    12.94x = 18.97 × 18.97
  4. Step 4: Simplify right side
    12.94x = 359.81
  5. Step 5: Solve for x
    x = 359.81/12.94
  6. Step 6: Final answer
    x = 27.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.