Home / 54,258-120,966

Finding the Third Proportional to 54,258 and 120,966

Calculator

Solution

The third proportional to 54,258 and 120,966 is: 269,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,258 : 120,966 = 120,966 : x
  2. Step 2: Convert to fraction form
    54,258/120,966 = 120,966/x
  3. Step 3: Cross multiply
    54,258x = 120,966 × 120,966
  4. Step 4: Simplify right side
    54,258x = 14,632,773,156
  5. Step 5: Solve for x
    x = 14,632,773,156/54,258
  6. Step 6: Final answer
    x = 269,688.77

Related Problems

Find third proportional to 27,129 and 60,483
Half scale
Find third proportional to 108,516 and 241,932
Double scale
Find third proportional to 54,260 and 120,970
Similar ratio
Find third proportional to 81,387 and 181,449
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.