Home / 133,986-208,358

Finding the Third Proportional to 133,986 and 208,358

Calculator

Solution

The third proportional to 133,986 and 208,358 is: 324,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,986 : 208,358 = 208,358 : x
  2. Step 2: Convert to fraction form
    133,986/208,358 = 208,358/x
  3. Step 3: Cross multiply
    133,986x = 208,358 × 208,358
  4. Step 4: Simplify right side
    133,986x = 43,413,056,164
  5. Step 5: Solve for x
    x = 43,413,056,164/133,986
  6. Step 6: Final answer
    x = 324,011.88

Related Problems

Find third proportional to 66,993 and 104,179
Half scale
Find third proportional to 267,972 and 416,716
Double scale
Find third proportional to 133,988 and 208,361
Similar ratio
Find third proportional to 200,979 and 312,537
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.