Home / 234-324

Finding the Third Proportional to 234 and 324

Calculator

Solution

The third proportional to 234 and 324 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 324 = 324 : x
  2. Step 2: Convert to fraction form
    234/324 = 324/x
  3. Step 3: Cross multiply
    234x = 324 × 324
  4. Step 4: Simplify right side
    234x = 104,976
  5. Step 5: Solve for x
    x = 104,976/234
  6. Step 6: Final answer
    x = 448.62

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.