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Finding the Third Proportional to 255,761 and 401,232

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Solution

The third proportional to 255,761 and 401,232 is: 629,443.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,761 : 401,232 = 401,232 : x
  2. Step 2: Convert to fraction form
    255,761/401,232 = 401,232/x
  3. Step 3: Cross multiply
    255,761x = 401,232 × 401,232
  4. Step 4: Simplify right side
    255,761x = 160,987,117,824
  5. Step 5: Solve for x
    x = 160,987,117,824/255,761
  6. Step 6: Final answer
    x = 629,443.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.