Home / 324-364

Finding the Third Proportional to 324 and 364

Calculator

Solution

The third proportional to 324 and 364 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    324 : 364 = 364 : x
  2. Step 2: Convert to fraction form
    324/364 = 364/x
  3. Step 3: Cross multiply
    324x = 364 × 364
  4. Step 4: Simplify right side
    324x = 132,496
  5. Step 5: Solve for x
    x = 132,496/324
  6. Step 6: Final answer
    x = 408.94

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.