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Finding the Third Proportional to 255.75 and 614.44

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Solution

The third proportional to 255.75 and 614.44 is: 1,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 614.44 = 614.44 : x
  2. Step 2: Convert to fraction form
    255.75/614.44 = 614.44/x
  3. Step 3: Cross multiply
    255.75x = 614.44 × 614.44
  4. Step 4: Simplify right side
    255.75x = 377,533.44
  5. Step 5: Solve for x
    x = 377,533.44/255.75
  6. Step 6: Final answer
    x = 1,476.18

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.