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Finding the Third Proportional to 15.72 and 33.97

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Solution

The third proportional to 15.72 and 33.97 is: 73.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.72 : 33.97 = 33.97 : x
  2. Step 2: Convert to fraction form
    15.72/33.97 = 33.97/x
  3. Step 3: Cross multiply
    15.72x = 33.97 × 33.97
  4. Step 4: Simplify right side
    15.72x = 1,153.88
  5. Step 5: Solve for x
    x = 1,153.88/15.72
  6. Step 6: Final answer
    x = 73.41

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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.