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Finding the Third Proportional to 14.36 and 30.97

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Solution

The third proportional to 14.36 and 30.97 is: 66.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.36 : 30.97 = 30.97 : x
  2. Step 2: Convert to fraction form
    14.36/30.97 = 30.97/x
  3. Step 3: Cross multiply
    14.36x = 30.97 × 30.97
  4. Step 4: Simplify right side
    14.36x = 959.03
  5. Step 5: Solve for x
    x = 959.03/14.36
  6. Step 6: Final answer
    x = 66.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.