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Finding the Third Proportional to 494.91 and 1,089.09

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Solution

The third proportional to 494.91 and 1,089.09 is: 2,396.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.91 : 1,089.09 = 1,089.09 : x
  2. Step 2: Convert to fraction form
    494.91/1,089.09 = 1,089.09/x
  3. Step 3: Cross multiply
    494.91x = 1,089.09 × 1,089.09
  4. Step 4: Simplify right side
    494.91x = 1,186,125.20
  5. Step 5: Solve for x
    x = 1,186,125.20/494.91
  6. Step 6: Final answer
    x = 2,396.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.