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Finding the Third Proportional to 255,678 and 401,103

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Solution

The third proportional to 255,678 and 401,103 is: 629,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,678 : 401,103 = 401,103 : x
  2. Step 2: Convert to fraction form
    255,678/401,103 = 401,103/x
  3. Step 3: Cross multiply
    255,678x = 401,103 × 401,103
  4. Step 4: Simplify right side
    255,678x = 160,883,616,609
  5. Step 5: Solve for x
    x = 160,883,616,609/255,678
  6. Step 6: Final answer
    x = 629,243.10

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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.