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Finding the Third Proportional to 136,956 and 205,866

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Solution

The third proportional to 136,956 and 205,866 is: 309,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,956 : 205,866 = 205,866 : x
  2. Step 2: Convert to fraction form
    136,956/205,866 = 205,866/x
  3. Step 3: Cross multiply
    136,956x = 205,866 × 205,866
  4. Step 4: Simplify right side
    136,956x = 42,380,809,956
  5. Step 5: Solve for x
    x = 42,380,809,956/136,956
  6. Step 6: Final answer
    x = 309,448.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.