Home / 156-343.50

Finding the Third Proportional to 156 and 343.50

Calculator

Solution

The third proportional to 156 and 343.50 is: 756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156 : 343.50 = 343.50 : x
  2. Step 2: Convert to fraction form
    156/343.50 = 343.50/x
  3. Step 3: Cross multiply
    156x = 343.50 × 343.50
  4. Step 4: Simplify right side
    156x = 117,992.25
  5. Step 5: Solve for x
    x = 117,992.25/156
  6. Step 6: Final answer
    x = 756.36

Related Problems

Find third proportional to 78 and 171.75
Half scale
Find third proportional to 312 and 687
Double scale
Find third proportional to 158 and 348
Similar ratio
Find third proportional to 234 and 515.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.