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Finding the Third Proportional to 533.88 and 816.12

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Solution

The third proportional to 533.88 and 816.12 is: 1,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 816.12 = 816.12 : x
  2. Step 2: Convert to fraction form
    533.88/816.12 = 816.12/x
  3. Step 3: Cross multiply
    533.88x = 816.12 × 816.12
  4. Step 4: Simplify right side
    533.88x = 666,047.26
  5. Step 5: Solve for x
    x = 666,047.26/533.88
  6. Step 6: Final answer
    x = 1,247.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.