Home / 406-644

Finding the Third Proportional to 406 and 644

Calculator

Solution

The third proportional to 406 and 644 is: 1,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    406/644 = 644/x
  3. Step 3: Cross multiply
    406x = 644 × 644
  4. Step 4: Simplify right side
    406x = 414,736
  5. Step 5: Solve for x
    x = 414,736/406
  6. Step 6: Final answer
    x = 1,021.52

Related Problems

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.