Home / 68,410-109,284

Finding the Third Proportional to 68,410 and 109,284

Calculator

Solution

The third proportional to 68,410 and 109,284 is: 174,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,410 : 109,284 = 109,284 : x
  2. Step 2: Convert to fraction form
    68,410/109,284 = 109,284/x
  3. Step 3: Cross multiply
    68,410x = 109,284 × 109,284
  4. Step 4: Simplify right side
    68,410x = 11,942,992,656
  5. Step 5: Solve for x
    x = 11,942,992,656/68,410
  6. Step 6: Final answer
    x = 174,579.63

Related Problems

Find third proportional to 34,205 and 54,642
Half scale
Find third proportional to 136,820 and 218,568
Double scale
Find third proportional to 68,412 and 109,287
Similar ratio
Find third proportional to 102,615 and 163,926
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.