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Finding the Third Proportional to 384.75 and 825.56

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Solution

The third proportional to 384.75 and 825.56 is: 1,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.75 : 825.56 = 825.56 : x
  2. Step 2: Convert to fraction form
    384.75/825.56 = 825.56/x
  3. Step 3: Cross multiply
    384.75x = 825.56 × 825.56
  4. Step 4: Simplify right side
    384.75x = 681,553.44
  5. Step 5: Solve for x
    x = 681,553.44/384.75
  6. Step 6: Final answer
    x = 1,771.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.