Home / 205,278-314,904

Finding the Third Proportional to 205,278 and 314,904

Calculator

Solution

The third proportional to 205,278 and 314,904 is: 483,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,278 : 314,904 = 314,904 : x
  2. Step 2: Convert to fraction form
    205,278/314,904 = 314,904/x
  3. Step 3: Cross multiply
    205,278x = 314,904 × 314,904
  4. Step 4: Simplify right side
    205,278x = 99,164,529,216
  5. Step 5: Solve for x
    x = 99,164,529,216/205,278
  6. Step 6: Final answer
    x = 483,074.31

Related Problems

Find third proportional to 102,639 and 157,452
Half scale
Find third proportional to 410,556 and 629,808
Double scale
Find third proportional to 205,280 and 314,907
Similar ratio
Find third proportional to 307,917 and 472,356
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.