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Finding the Third Proportional to 408.80 and 659.71

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Solution

The third proportional to 408.80 and 659.71 is: 1,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.80 : 659.71 = 659.71 : x
  2. Step 2: Convert to fraction form
    408.80/659.71 = 659.71/x
  3. Step 3: Cross multiply
    408.80x = 659.71 × 659.71
  4. Step 4: Simplify right side
    408.80x = 435,213.37
  5. Step 5: Solve for x
    x = 435,213.37/408.80
  6. Step 6: Final answer
    x = 1,064.62

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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.