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Finding the Third Proportional to 533.75 and 782.88

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Solution

The third proportional to 533.75 and 782.88 is: 1,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 782.88 = 782.88 : x
  2. Step 2: Convert to fraction form
    533.75/782.88 = 782.88/x
  3. Step 3: Cross multiply
    533.75x = 782.88 × 782.88
  4. Step 4: Simplify right side
    533.75x = 612,893.27
  5. Step 5: Solve for x
    x = 612,893.27/533.75
  6. Step 6: Final answer
    x = 1,148.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.