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Finding the Third Proportional to 406.75 and 629.75

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Solution

The third proportional to 406.75 and 629.75 is: 975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.75 : 629.75 = 629.75 : x
  2. Step 2: Convert to fraction form
    406.75/629.75 = 629.75/x
  3. Step 3: Cross multiply
    406.75x = 629.75 × 629.75
  4. Step 4: Simplify right side
    406.75x = 396,585.06
  5. Step 5: Solve for x
    x = 396,585.06/406.75
  6. Step 6: Final answer
    x = 975.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.