Home / 331-656

Finding the Third Proportional to 331 and 656

Calculator

Solution

The third proportional to 331 and 656 is: 1,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331 : 656 = 656 : x
  2. Step 2: Convert to fraction form
    331/656 = 656/x
  3. Step 3: Cross multiply
    331x = 656 × 656
  4. Step 4: Simplify right side
    331x = 430,336
  5. Step 5: Solve for x
    x = 430,336/331
  6. Step 6: Final answer
    x = 1,300.11

Related Problems

Find third proportional to 165.50 and 328
Half scale
Find third proportional to 662 and 1,312
Double scale
Find third proportional to 333 and 660
Similar ratio
Find third proportional to 496.50 and 984
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.