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Finding the Third Proportional to 6,956 and 13,732

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Solution

The third proportional to 6,956 and 13,732 is: 27,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956 : 13,732 = 13,732 : x
  2. Step 2: Convert to fraction form
    6,956/13,732 = 13,732/x
  3. Step 3: Cross multiply
    6,956x = 13,732 × 13,732
  4. Step 4: Simplify right side
    6,956x = 188,567,824
  5. Step 5: Solve for x
    x = 188,567,824/6,956
  6. Step 6: Final answer
    x = 27,108.66

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.