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Finding the Third Proportional to 241.75 and 389.22

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Solution

The third proportional to 241.75 and 389.22 is: 626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 389.22 = 389.22 : x
  2. Step 2: Convert to fraction form
    241.75/389.22 = 389.22/x
  3. Step 3: Cross multiply
    241.75x = 389.22 × 389.22
  4. Step 4: Simplify right side
    241.75x = 151,491.24
  5. Step 5: Solve for x
    x = 151,491.24/241.75
  6. Step 6: Final answer
    x = 626.64

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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.