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Finding the Third Proportional to 43,928 and 85,647

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Solution

The third proportional to 43,928 and 85,647 is: 166,987.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,928 : 85,647 = 85,647 : x
  2. Step 2: Convert to fraction form
    43,928/85,647 = 85,647/x
  3. Step 3: Cross multiply
    43,928x = 85,647 × 85,647
  4. Step 4: Simplify right side
    43,928x = 7,335,408,609
  5. Step 5: Solve for x
    x = 7,335,408,609/43,928
  6. Step 6: Final answer
    x = 166,987.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.