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Finding the Third Proportional to 18.50 and 43.75

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Solution

The third proportional to 18.50 and 43.75 is: 103.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.50 : 43.75 = 43.75 : x
  2. Step 2: Convert to fraction form
    18.50/43.75 = 43.75/x
  3. Step 3: Cross multiply
    18.50x = 43.75 × 43.75
  4. Step 4: Simplify right side
    18.50x = 1,914.06
  5. Step 5: Solve for x
    x = 1,914.06/18.50
  6. Step 6: Final answer
    x = 103.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.