Home / 214,048-317,984

Finding the Third Proportional to 214,048 and 317,984

Calculator

Solution

The third proportional to 214,048 and 317,984 is: 472,388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,048 : 317,984 = 317,984 : x
  2. Step 2: Convert to fraction form
    214,048/317,984 = 317,984/x
  3. Step 3: Cross multiply
    214,048x = 317,984 × 317,984
  4. Step 4: Simplify right side
    214,048x = 101,113,824,256
  5. Step 5: Solve for x
    x = 101,113,824,256/214,048
  6. Step 6: Final answer
    x = 472,388.55

Related Problems

Find third proportional to 107,024 and 158,992
Half scale
Find third proportional to 428,096 and 635,968
Double scale
Find third proportional to 214,050 and 317,987
Similar ratio
Find third proportional to 321,072 and 476,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.