Home / 135,963-206,586

Finding the Third Proportional to 135,963 and 206,586

Calculator

Solution

The third proportional to 135,963 and 206,586 is: 313,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,963 : 206,586 = 206,586 : x
  2. Step 2: Convert to fraction form
    135,963/206,586 = 206,586/x
  3. Step 3: Cross multiply
    135,963x = 206,586 × 206,586
  4. Step 4: Simplify right side
    135,963x = 42,677,775,396
  5. Step 5: Solve for x
    x = 42,677,775,396/135,963
  6. Step 6: Final answer
    x = 313,892.57

Related Problems

Find third proportional to 67,981.50 and 103,293
Half scale
Find third proportional to 271,926 and 413,172
Double scale
Find third proportional to 135,965 and 206,589
Similar ratio
Find third proportional to 203,944.50 and 309,879
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.