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Finding the Third Proportional to 686 and 1,848

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Solution

The third proportional to 686 and 1,848 is: 4,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 1,848 = 1,848 : x
  2. Step 2: Convert to fraction form
    686/1,848 = 1,848/x
  3. Step 3: Cross multiply
    686x = 1,848 × 1,848
  4. Step 4: Simplify right side
    686x = 3,415,104
  5. Step 5: Solve for x
    x = 3,415,104/686
  6. Step 6: Final answer
    x = 4,978.29

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.