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Finding the Third Proportional to 149.25 and 323.20

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Solution

The third proportional to 149.25 and 323.20 is: 699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.25 : 323.20 = 323.20 : x
  2. Step 2: Convert to fraction form
    149.25/323.20 = 323.20/x
  3. Step 3: Cross multiply
    149.25x = 323.20 × 323.20
  4. Step 4: Simplify right side
    149.25x = 104,460.26
  5. Step 5: Solve for x
    x = 104,460.26/149.25
  6. Step 6: Final answer
    x = 699.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.