Home / 69,200-106,768

Finding the Third Proportional to 69,200 and 106,768

Calculator

Solution

The third proportional to 69,200 and 106,768 is: 164,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,200 : 106,768 = 106,768 : x
  2. Step 2: Convert to fraction form
    69,200/106,768 = 106,768/x
  3. Step 3: Cross multiply
    69,200x = 106,768 × 106,768
  4. Step 4: Simplify right side
    69,200x = 11,399,405,824
  5. Step 5: Solve for x
    x = 11,399,405,824/69,200
  6. Step 6: Final answer
    x = 164,731.30

Related Problems

Find third proportional to 34,600 and 53,384
Half scale
Find third proportional to 138,400 and 213,536
Double scale
Find third proportional to 69,202 and 106,771
Similar ratio
Find third proportional to 103,800 and 160,152
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.