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Finding the Third Proportional to 256,369.75 and 397,994

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Solution

The third proportional to 256,369.75 and 397,994 is: 617,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,369.75 : 397,994 = 397,994 : x
  2. Step 2: Convert to fraction form
    256,369.75/397,994 = 397,994/x
  3. Step 3: Cross multiply
    256,369.75x = 397,994 × 397,994
  4. Step 4: Simplify right side
    256,369.75x = 158,399,224,036
  5. Step 5: Solve for x
    x = 158,399,224,036/256,369.75
  6. Step 6: Final answer
    x = 617,854.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.