Home / 222,764-321,854

Finding the Third Proportional to 222,764 and 321,854

Calculator

Solution

The third proportional to 222,764 and 321,854 is: 465,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,764 : 321,854 = 321,854 : x
  2. Step 2: Convert to fraction form
    222,764/321,854 = 321,854/x
  3. Step 3: Cross multiply
    222,764x = 321,854 × 321,854
  4. Step 4: Simplify right side
    222,764x = 103,589,997,316
  5. Step 5: Solve for x
    x = 103,589,997,316/222,764
  6. Step 6: Final answer
    x = 465,021.27

Related Problems

Find third proportional to 111,382 and 160,927
Half scale
Find third proportional to 445,528 and 643,708
Double scale
Find third proportional to 222,766 and 321,857
Similar ratio
Find third proportional to 334,146 and 482,781
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.