Home / 208,022-447,164

Finding the Third Proportional to 208,022 and 447,164

Calculator

Solution

The third proportional to 208,022 and 447,164 is: 961,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,022 : 447,164 = 447,164 : x
  2. Step 2: Convert to fraction form
    208,022/447,164 = 447,164/x
  3. Step 3: Cross multiply
    208,022x = 447,164 × 447,164
  4. Step 4: Simplify right side
    208,022x = 199,955,642,896
  5. Step 5: Solve for x
    x = 199,955,642,896/208,022
  6. Step 6: Final answer
    x = 961,223.54

Related Problems

Find third proportional to 104,011 and 223,582
Half scale
Find third proportional to 416,044 and 894,328
Double scale
Find third proportional to 208,024 and 447,168
Similar ratio
Find third proportional to 312,033 and 670,746
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.