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Finding the Third Proportional to 37.97 and 77.36

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Solution

The third proportional to 37.97 and 77.36 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.97 : 77.36 = 77.36 : x
  2. Step 2: Convert to fraction form
    37.97/77.36 = 77.36/x
  3. Step 3: Cross multiply
    37.97x = 77.36 × 77.36
  4. Step 4: Simplify right side
    37.97x = 5,984.78
  5. Step 5: Solve for x
    x = 5,984.78/37.97
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.