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Finding the Third Proportional to 533.75 and 813.13

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Solution

The third proportional to 533.75 and 813.13 is: 1,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 813.13 = 813.13 : x
  2. Step 2: Convert to fraction form
    533.75/813.13 = 813.13/x
  3. Step 3: Cross multiply
    533.75x = 813.13 × 813.13
  4. Step 4: Simplify right side
    533.75x = 661,172.27
  5. Step 5: Solve for x
    x = 661,172.27/533.75
  6. Step 6: Final answer
    x = 1,238.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.