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Finding the Third Proportional to 533.40 and 1,182.13

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Solution

The third proportional to 533.40 and 1,182.13 is: 2,619.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 1,182.13 = 1,182.13 : x
  2. Step 2: Convert to fraction form
    533.40/1,182.13 = 1,182.13/x
  3. Step 3: Cross multiply
    533.40x = 1,182.13 × 1,182.13
  4. Step 4: Simplify right side
    533.40x = 1,397,439.14
  5. Step 5: Solve for x
    x = 1,397,439.14/533.40
  6. Step 6: Final answer
    x = 2,619.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.