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Finding the Third Proportional to 255,686 and 401,115

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Solution

The third proportional to 255,686 and 401,115 is: 629,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,686 : 401,115 = 401,115 : x
  2. Step 2: Convert to fraction form
    255,686/401,115 = 401,115/x
  3. Step 3: Cross multiply
    255,686x = 401,115 × 401,115
  4. Step 4: Simplify right side
    255,686x = 160,893,243,225
  5. Step 5: Solve for x
    x = 160,893,243,225/255,686
  6. Step 6: Final answer
    x = 629,261.06

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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.