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Finding the Third Proportional to 7.41 and 20.37

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Solution

The third proportional to 7.41 and 20.37 is: 56.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.41 : 20.37 = 20.37 : x
  2. Step 2: Convert to fraction form
    7.41/20.37 = 20.37/x
  3. Step 3: Cross multiply
    7.41x = 20.37 × 20.37
  4. Step 4: Simplify right side
    7.41x = 414.81
  5. Step 5: Solve for x
    x = 414.81/7.41
  6. Step 6: Final answer
    x = 56.01

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.