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Finding the Third Proportional to 43.50 and 105.66

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Solution

The third proportional to 43.50 and 105.66 is: 256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 105.66 = 105.66 : x
  2. Step 2: Convert to fraction form
    43.50/105.66 = 105.66/x
  3. Step 3: Cross multiply
    43.50x = 105.66 × 105.66
  4. Step 4: Simplify right side
    43.50x = 11,163.24
  5. Step 5: Solve for x
    x = 11,163.24/43.50
  6. Step 6: Final answer
    x = 256.63

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.