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Finding the Third Proportional to 2,489.91 and 3,245.06

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Solution

The third proportional to 2,489.91 and 3,245.06 is: 4,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.91 : 3,245.06 = 3,245.06 : x
  2. Step 2: Convert to fraction form
    2,489.91/3,245.06 = 3,245.06/x
  3. Step 3: Cross multiply
    2,489.91x = 3,245.06 × 3,245.06
  4. Step 4: Simplify right side
    2,489.91x = 10,530,430.63
  5. Step 5: Solve for x
    x = 10,530,430.63/2,489.91
  6. Step 6: Final answer
    x = 4,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.