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Finding the Third Proportional to 41.70 and 54.81

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Solution

The third proportional to 41.70 and 54.81 is: 72.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.70 : 54.81 = 54.81 : x
  2. Step 2: Convert to fraction form
    41.70/54.81 = 54.81/x
  3. Step 3: Cross multiply
    41.70x = 54.81 × 54.81
  4. Step 4: Simplify right side
    41.70x = 3,003.98
  5. Step 5: Solve for x
    x = 3,003.98/41.70
  6. Step 6: Final answer
    x = 72.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.