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Finding the Third Proportional to 255,788 and 401,269

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Solution

The third proportional to 255,788 and 401,269 is: 629,493.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,788 : 401,269 = 401,269 : x
  2. Step 2: Convert to fraction form
    255,788/401,269 = 401,269/x
  3. Step 3: Cross multiply
    255,788x = 401,269 × 401,269
  4. Step 4: Simplify right side
    255,788x = 161,016,810,361
  5. Step 5: Solve for x
    x = 161,016,810,361/255,788
  6. Step 6: Final answer
    x = 629,493.21

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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.