Home / 75,869-109,284

Finding the Third Proportional to 75,869 and 109,284

Calculator

Solution

The third proportional to 75,869 and 109,284 is: 157,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,869 : 109,284 = 109,284 : x
  2. Step 2: Convert to fraction form
    75,869/109,284 = 109,284/x
  3. Step 3: Cross multiply
    75,869x = 109,284 × 109,284
  4. Step 4: Simplify right side
    75,869x = 11,942,992,656
  5. Step 5: Solve for x
    x = 11,942,992,656/75,869
  6. Step 6: Final answer
    x = 157,415.98

Related Problems

Find third proportional to 37,934.50 and 54,642
Half scale
Find third proportional to 151,738 and 218,568
Double scale
Find third proportional to 75,871 and 109,287
Similar ratio
Find third proportional to 113,803.50 and 163,926
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.