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Finding the Third Proportional to 255,684 and 401,112

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Solution

The third proportional to 255,684 and 401,112 is: 629,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,684 : 401,112 = 401,112 : x
  2. Step 2: Convert to fraction form
    255,684/401,112 = 401,112/x
  3. Step 3: Cross multiply
    255,684x = 401,112 × 401,112
  4. Step 4: Simplify right side
    255,684x = 160,890,836,544
  5. Step 5: Solve for x
    x = 160,890,836,544/255,684
  6. Step 6: Final answer
    x = 629,256.57

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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.