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Finding the Third Proportional to 31.97 and 70.94

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Solution

The third proportional to 31.97 and 70.94 is: 157.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 70.94 = 70.94 : x
  2. Step 2: Convert to fraction form
    31.97/70.94 = 70.94/x
  3. Step 3: Cross multiply
    31.97x = 70.94 × 70.94
  4. Step 4: Simplify right side
    31.97x = 5,032.13
  5. Step 5: Solve for x
    x = 5,032.13/31.97
  6. Step 6: Final answer
    x = 157.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.