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Finding the Third Proportional to 381.75 and 544.13

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Solution

The third proportional to 381.75 and 544.13 is: 775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 544.13 = 544.13 : x
  2. Step 2: Convert to fraction form
    381.75/544.13 = 544.13/x
  3. Step 3: Cross multiply
    381.75x = 544.13 × 544.13
  4. Step 4: Simplify right side
    381.75x = 296,072.02
  5. Step 5: Solve for x
    x = 296,072.02/381.75
  6. Step 6: Final answer
    x = 775.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.