Home / 462-596

Finding the Third Proportional to 462 and 596

Calculator

Solution

The third proportional to 462 and 596 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 596 = 596 : x
  2. Step 2: Convert to fraction form
    462/596 = 596/x
  3. Step 3: Cross multiply
    462x = 596 × 596
  4. Step 4: Simplify right side
    462x = 355,216
  5. Step 5: Solve for x
    x = 355,216/462
  6. Step 6: Final answer
    x = 768.87

Related Problems

Find third proportional to 231 and 298
Half scale
Find third proportional to 924 and 1,192
Double scale
Find third proportional to 464 and 599
Similar ratio
Find third proportional to 693 and 894
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.