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Finding the Third Proportional to 426.20 and 682.01

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Solution

The third proportional to 426.20 and 682.01 is: 1,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.20 : 682.01 = 682.01 : x
  2. Step 2: Convert to fraction form
    426.20/682.01 = 682.01/x
  3. Step 3: Cross multiply
    426.20x = 682.01 × 682.01
  4. Step 4: Simplify right side
    426.20x = 465,142.65
  5. Step 5: Solve for x
    x = 465,142.65/426.20
  6. Step 6: Final answer
    x = 1,091.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.