Home / 488-644

Finding the Third Proportional to 488 and 644

Calculator

Solution

The third proportional to 488 and 644 is: 849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    488/644 = 644/x
  3. Step 3: Cross multiply
    488x = 644 × 644
  4. Step 4: Simplify right side
    488x = 414,736
  5. Step 5: Solve for x
    x = 414,736/488
  6. Step 6: Final answer
    x = 849.87

Related Problems

Find third proportional to 244 and 322
Half scale
Find third proportional to 976 and 1,288
Double scale
Find third proportional to 490 and 647
Similar ratio
Find third proportional to 732 and 966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.