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Finding the Third Proportional to 255,658 and 401,073

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Solution

The third proportional to 255,658 and 401,073 is: 629,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,658 : 401,073 = 401,073 : x
  2. Step 2: Convert to fraction form
    255,658/401,073 = 401,073/x
  3. Step 3: Cross multiply
    255,658x = 401,073 × 401,073
  4. Step 4: Simplify right side
    255,658x = 160,859,551,329
  5. Step 5: Solve for x
    x = 160,859,551,329/255,658
  6. Step 6: Final answer
    x = 629,198.19

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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.