Home / 138,777-208,161

Finding the Third Proportional to 138,777 and 208,161

Calculator

Solution

The third proportional to 138,777 and 208,161 is: 312,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,777 : 208,161 = 208,161 : x
  2. Step 2: Convert to fraction form
    138,777/208,161 = 208,161/x
  3. Step 3: Cross multiply
    138,777x = 208,161 × 208,161
  4. Step 4: Simplify right side
    138,777x = 43,331,001,921
  5. Step 5: Solve for x
    x = 43,331,001,921/138,777
  6. Step 6: Final answer
    x = 312,234.75

Related Problems

Find third proportional to 69,388.50 and 104,080.50
Half scale
Find third proportional to 277,554 and 416,322
Double scale
Find third proportional to 138,779 and 208,164
Similar ratio
Find third proportional to 208,165.50 and 312,241.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.