Home / 202,208-291,284

Finding the Third Proportional to 202,208 and 291,284

Calculator

Solution

The third proportional to 202,208 and 291,284 is: 419,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,208 : 291,284 = 291,284 : x
  2. Step 2: Convert to fraction form
    202,208/291,284 = 291,284/x
  3. Step 3: Cross multiply
    202,208x = 291,284 × 291,284
  4. Step 4: Simplify right side
    202,208x = 84,846,368,656
  5. Step 5: Solve for x
    x = 84,846,368,656/202,208
  6. Step 6: Final answer
    x = 419,599.47

Related Problems

Find third proportional to 101,104 and 145,642
Half scale
Find third proportional to 404,416 and 582,568
Double scale
Find third proportional to 202,210 and 291,287
Similar ratio
Find third proportional to 303,312 and 436,926
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.