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Finding the Third Proportional to 117,978 and 255,634

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Solution

The third proportional to 117,978 and 255,634 is: 553,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,978 : 255,634 = 255,634 : x
  2. Step 2: Convert to fraction form
    117,978/255,634 = 255,634/x
  3. Step 3: Cross multiply
    117,978x = 255,634 × 255,634
  4. Step 4: Simplify right side
    117,978x = 65,348,741,956
  5. Step 5: Solve for x
    x = 65,348,741,956/117,978
  6. Step 6: Final answer
    x = 553,906.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.