Home / 208,066-313,961

Finding the Third Proportional to 208,066 and 313,961

Calculator

Solution

The third proportional to 208,066 and 313,961 is: 473,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066 : 313,961 = 313,961 : x
  2. Step 2: Convert to fraction form
    208,066/313,961 = 313,961/x
  3. Step 3: Cross multiply
    208,066x = 313,961 × 313,961
  4. Step 4: Simplify right side
    208,066x = 98,571,509,521
  5. Step 5: Solve for x
    x = 98,571,509,521/208,066
  6. Step 6: Final answer
    x = 473,751.16

Related Problems

Find third proportional to 104,033 and 156,980.50
Half scale
Find third proportional to 416,132 and 627,922
Double scale
Find third proportional to 208,068 and 313,964
Similar ratio
Find third proportional to 312,099 and 470,941.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.