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Finding the Third Proportional to 255,759.19 and 401,228.44

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Solution

The third proportional to 255,759.19 and 401,228.44 is: 629,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,759.19 : 401,228.44 = 401,228.44 : x
  2. Step 2: Convert to fraction form
    255,759.19/401,228.44 = 401,228.44/x
  3. Step 3: Cross multiply
    255,759.19x = 401,228.44 × 401,228.44
  4. Step 4: Simplify right side
    255,759.19x = 160,984,259,058.69
  5. Step 5: Solve for x
    x = 160,984,259,058.69/255,759.19
  6. Step 6: Final answer
    x = 629,436.86

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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.