Home / 156,714-220,206

Finding the Third Proportional to 156,714 and 220,206

Calculator

Solution

The third proportional to 156,714 and 220,206 is: 309,421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,714 : 220,206 = 220,206 : x
  2. Step 2: Convert to fraction form
    156,714/220,206 = 220,206/x
  3. Step 3: Cross multiply
    156,714x = 220,206 × 220,206
  4. Step 4: Simplify right side
    156,714x = 48,490,682,436
  5. Step 5: Solve for x
    x = 48,490,682,436/156,714
  6. Step 6: Final answer
    x = 309,421.51

Related Problems

Find third proportional to 78,357 and 110,103
Half scale
Find third proportional to 313,428 and 440,412
Double scale
Find third proportional to 156,716 and 220,209
Similar ratio
Find third proportional to 235,071 and 330,309
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.