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Finding the Third Proportional to 174,978 and 255,904

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Solution

The third proportional to 174,978 and 255,904 is: 374,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,978 : 255,904 = 255,904 : x
  2. Step 2: Convert to fraction form
    174,978/255,904 = 255,904/x
  3. Step 3: Cross multiply
    174,978x = 255,904 × 255,904
  4. Step 4: Simplify right side
    174,978x = 65,486,857,216
  5. Step 5: Solve for x
    x = 65,486,857,216/174,978
  6. Step 6: Final answer
    x = 374,257.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.