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Finding the Third Proportional to 134,978 and 269,796

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Solution

The third proportional to 134,978 and 269,796 is: 539,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,978 : 269,796 = 269,796 : x
  2. Step 2: Convert to fraction form
    134,978/269,796 = 269,796/x
  3. Step 3: Cross multiply
    134,978x = 269,796 × 269,796
  4. Step 4: Simplify right side
    134,978x = 72,789,881,616
  5. Step 5: Solve for x
    x = 72,789,881,616/134,978
  6. Step 6: Final answer
    x = 539,272.19

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.