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Finding the Third Proportional to 682.07 and 1,489.09

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Solution

The third proportional to 682.07 and 1,489.09 is: 3,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 1,489.09 = 1,489.09 : x
  2. Step 2: Convert to fraction form
    682.07/1,489.09 = 1,489.09/x
  3. Step 3: Cross multiply
    682.07x = 1,489.09 × 1,489.09
  4. Step 4: Simplify right side
    682.07x = 2,217,379.84
  5. Step 5: Solve for x
    x = 2,217,379.84/682.07
  6. Step 6: Final answer
    x = 3,250.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.