Home / 101,720-206,209

Finding the Third Proportional to 101,720 and 206,209

Calculator

Solution

The third proportional to 101,720 and 206,209 is: 418,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,720 : 206,209 = 206,209 : x
  2. Step 2: Convert to fraction form
    101,720/206,209 = 206,209/x
  3. Step 3: Cross multiply
    101,720x = 206,209 × 206,209
  4. Step 4: Simplify right side
    101,720x = 42,522,151,681
  5. Step 5: Solve for x
    x = 42,522,151,681/101,720
  6. Step 6: Final answer
    x = 418,031.38

Related Problems

Find third proportional to 50,860 and 103,104.50
Half scale
Find third proportional to 203,440 and 412,418
Double scale
Find third proportional to 101,722 and 206,213
Similar ratio
Find third proportional to 152,580 and 309,313.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.