Home / 408-664.50

Finding the Third Proportional to 408 and 664.50

Calculator

Solution

The third proportional to 408 and 664.50 is: 1,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 664.50 = 664.50 : x
  2. Step 2: Convert to fraction form
    408/664.50 = 664.50/x
  3. Step 3: Cross multiply
    408x = 664.50 × 664.50
  4. Step 4: Simplify right side
    408x = 441,560.25
  5. Step 5: Solve for x
    x = 441,560.25/408
  6. Step 6: Final answer
    x = 1,082.26

Related Problems

Find third proportional to 204 and 332.25
Half scale
Find third proportional to 816 and 1,329
Double scale
Find third proportional to 410 and 668
Similar ratio
Find third proportional to 612 and 996.75
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.