Home / 458-644

Finding the Third Proportional to 458 and 644

Calculator

Solution

The third proportional to 458 and 644 is: 905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    458/644 = 644/x
  3. Step 3: Cross multiply
    458x = 644 × 644
  4. Step 4: Simplify right side
    458x = 414,736
  5. Step 5: Solve for x
    x = 414,736/458
  6. Step 6: Final answer
    x = 905.54

Related Problems

Find third proportional to 229 and 322
Half scale
Find third proportional to 916 and 1,288
Double scale
Find third proportional to 460 and 647
Similar ratio
Find third proportional to 687 and 966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.