Home / 724-838

Finding the Third Proportional to 724 and 838

Calculator

Solution

The third proportional to 724 and 838 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    724 : 838 = 838 : x
  2. Step 2: Convert to fraction form
    724/838 = 838/x
  3. Step 3: Cross multiply
    724x = 838 × 838
  4. Step 4: Simplify right side
    724x = 702,244
  5. Step 5: Solve for x
    x = 702,244/724
  6. Step 6: Final answer
    x = 969.95

Related Problems

Find third proportional to 362 and 419
Half scale
Find third proportional to 1,448 and 1,676
Double scale
Find third proportional to 726 and 840
Similar ratio
Find third proportional to 1,086 and 1,257
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.