Home / 156,967-322,206

Finding the Third Proportional to 156,967 and 322,206

Calculator

Solution

The third proportional to 156,967 and 322,206 is: 661,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,967 : 322,206 = 322,206 : x
  2. Step 2: Convert to fraction form
    156,967/322,206 = 322,206/x
  3. Step 3: Cross multiply
    156,967x = 322,206 × 322,206
  4. Step 4: Simplify right side
    156,967x = 103,816,706,436
  5. Step 5: Solve for x
    x = 103,816,706,436/156,967
  6. Step 6: Final answer
    x = 661,391.93

Related Problems

Find third proportional to 78,483.50 and 161,103
Half scale
Find third proportional to 313,934 and 644,412
Double scale
Find third proportional to 156,969 and 322,210
Similar ratio
Find third proportional to 235,450.50 and 483,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.