Home / 492-596

Finding the Third Proportional to 492 and 596

Calculator

Solution

The third proportional to 492 and 596 is: 721.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 596 = 596 : x
  2. Step 2: Convert to fraction form
    492/596 = 596/x
  3. Step 3: Cross multiply
    492x = 596 × 596
  4. Step 4: Simplify right side
    492x = 355,216
  5. Step 5: Solve for x
    x = 355,216/492
  6. Step 6: Final answer
    x = 721.98

Related Problems

Find third proportional to 246 and 298
Half scale
Find third proportional to 984 and 1,192
Double scale
Find third proportional to 494 and 598
Similar ratio
Find third proportional to 738 and 894
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.