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Finding the Third Proportional to 14.53 and 31.97

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Solution

The third proportional to 14.53 and 31.97 is: 70.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.53 : 31.97 = 31.97 : x
  2. Step 2: Convert to fraction form
    14.53/31.97 = 31.97/x
  3. Step 3: Cross multiply
    14.53x = 31.97 × 31.97
  4. Step 4: Simplify right side
    14.53x = 1,022.00
  5. Step 5: Solve for x
    x = 1,022.00/14.53
  6. Step 6: Final answer
    x = 70.33

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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.