Home / 205,034-313,431

Finding the Third Proportional to 205,034 and 313,431

Calculator

Solution

The third proportional to 205,034 and 313,431 is: 479,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034 : 313,431 = 313,431 : x
  2. Step 2: Convert to fraction form
    205,034/313,431 = 313,431/x
  3. Step 3: Cross multiply
    205,034x = 313,431 × 313,431
  4. Step 4: Simplify right side
    205,034x = 98,238,991,761
  5. Step 5: Solve for x
    x = 98,238,991,761/205,034
  6. Step 6: Final answer
    x = 479,135.13

Related Problems

Find third proportional to 102,517 and 156,715.50
Half scale
Find third proportional to 410,068 and 626,862
Double scale
Find third proportional to 205,036 and 313,434
Similar ratio
Find third proportional to 307,551 and 470,146.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.