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Finding the Third Proportional to 533.75 and 828.44

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Solution

The third proportional to 533.75 and 828.44 is: 1,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 828.44 = 828.44 : x
  2. Step 2: Convert to fraction form
    533.75/828.44 = 828.44/x
  3. Step 3: Cross multiply
    533.75x = 828.44 × 828.44
  4. Step 4: Simplify right side
    533.75x = 686,308.69
  5. Step 5: Solve for x
    x = 686,308.69/533.75
  6. Step 6: Final answer
    x = 1,285.82

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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.