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Finding the Third Proportional to 523.98 and 1,091.09

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Solution

The third proportional to 523.98 and 1,091.09 is: 2,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.98 : 1,091.09 = 1,091.09 : x
  2. Step 2: Convert to fraction form
    523.98/1,091.09 = 1,091.09/x
  3. Step 3: Cross multiply
    523.98x = 1,091.09 × 1,091.09
  4. Step 4: Simplify right side
    523.98x = 1,190,485.57
  5. Step 5: Solve for x
    x = 1,190,485.57/523.98
  6. Step 6: Final answer
    x = 2,271.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.