Home / 432-656

Finding the Third Proportional to 432 and 656

Calculator

Solution

The third proportional to 432 and 656 is: 996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 656 = 656 : x
  2. Step 2: Convert to fraction form
    432/656 = 656/x
  3. Step 3: Cross multiply
    432x = 656 × 656
  4. Step 4: Simplify right side
    432x = 430,336
  5. Step 5: Solve for x
    x = 430,336/432
  6. Step 6: Final answer
    x = 996.15

Related Problems

Find third proportional to 216 and 328
Half scale
Find third proportional to 864 and 1,312
Double scale
Find third proportional to 434 and 659
Similar ratio
Find third proportional to 648 and 984
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.