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Finding the Third Proportional to 408.09 and 657.56

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Solution

The third proportional to 408.09 and 657.56 is: 1,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.09 : 657.56 = 657.56 : x
  2. Step 2: Convert to fraction form
    408.09/657.56 = 657.56/x
  3. Step 3: Cross multiply
    408.09x = 657.56 × 657.56
  4. Step 4: Simplify right side
    408.09x = 432,388.44
  5. Step 5: Solve for x
    x = 432,388.44/408.09
  6. Step 6: Final answer
    x = 1,059.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.