Home / 110,936-156,970

Finding the Third Proportional to 110,936 and 156,970

Calculator

Solution

The third proportional to 110,936 and 156,970 is: 222,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,936 : 156,970 = 156,970 : x
  2. Step 2: Convert to fraction form
    110,936/156,970 = 156,970/x
  3. Step 3: Cross multiply
    110,936x = 156,970 × 156,970
  4. Step 4: Simplify right side
    110,936x = 24,639,580,900
  5. Step 5: Solve for x
    x = 24,639,580,900/110,936
  6. Step 6: Final answer
    x = 222,106.27

Related Problems

Find third proportional to 55,468 and 78,485
Half scale
Find third proportional to 221,872 and 313,940
Double scale
Find third proportional to 110,938 and 156,973
Similar ratio
Find third proportional to 166,404 and 235,455
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.