Home / 407-644

Finding the Third Proportional to 407 and 644

Calculator

Solution

The third proportional to 407 and 644 is: 1,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 644 = 644 : x
  2. Step 2: Convert to fraction form
    407/644 = 644/x
  3. Step 3: Cross multiply
    407x = 644 × 644
  4. Step 4: Simplify right side
    407x = 414,736
  5. Step 5: Solve for x
    x = 414,736/407
  6. Step 6: Final answer
    x = 1,019.01

Related Problems

Find third proportional to 203.50 and 322
Half scale
Find third proportional to 814 and 1,288
Double scale
Find third proportional to 409 and 647
Similar ratio
Find third proportional to 610.50 and 966
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.