Home / 166,082-343,984

Finding the Third Proportional to 166,082 and 343,984

Calculator

Solution

The third proportional to 166,082 and 343,984 is: 712,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,082 : 343,984 = 343,984 : x
  2. Step 2: Convert to fraction form
    166,082/343,984 = 343,984/x
  3. Step 3: Cross multiply
    166,082x = 343,984 × 343,984
  4. Step 4: Simplify right side
    166,082x = 118,324,992,256
  5. Step 5: Solve for x
    x = 118,324,992,256/166,082
  6. Step 6: Final answer
    x = 712,449.23

Related Problems

Find third proportional to 83,041 and 171,992
Half scale
Find third proportional to 332,164 and 687,968
Double scale
Find third proportional to 166,084 and 343,988
Similar ratio
Find third proportional to 249,123 and 515,976
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.