Home / 664-838

Finding the Third Proportional to 664 and 838

Calculator

Solution

The third proportional to 664 and 838 is: 1,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664 : 838 = 838 : x
  2. Step 2: Convert to fraction form
    664/838 = 838/x
  3. Step 3: Cross multiply
    664x = 838 × 838
  4. Step 4: Simplify right side
    664x = 702,244
  5. Step 5: Solve for x
    x = 702,244/664
  6. Step 6: Final answer
    x = 1,057.60

Related Problems

Find third proportional to 332 and 419
Half scale
Find third proportional to 1,328 and 1,676
Double scale
Find third proportional to 666 and 841
Similar ratio
Find third proportional to 996 and 1,257
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.