Home / 156-312

Finding the Third Proportional to 156 and 312

Calculator

Solution

The third proportional to 156 and 312 is: 624

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 312 = 312 : x
  2. Step 2: Convert to fraction form
    156/312 = 312/x
  3. Step 3: Cross multiply
    156x = 312 × 312
  4. Step 4: Simplify right side
    156x = 97,344
  5. Step 5: Solve for x
    x = 97,344/156
  6. Step 6: Final answer
    x = 624

Related Problems

Find third proportional to 78 and 156
Half scale
Find third proportional to 312 and 624
Double scale
Find third proportional to 158 and 316
Similar ratio
Find third proportional to 234 and 468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.