Home / 81,724-178,393

Finding the Third Proportional to 81,724 and 178,393

Calculator

Solution

The third proportional to 81,724 and 178,393 is: 389,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,724 : 178,393 = 178,393 : x
  2. Step 2: Convert to fraction form
    81,724/178,393 = 178,393/x
  3. Step 3: Cross multiply
    81,724x = 178,393 × 178,393
  4. Step 4: Simplify right side
    81,724x = 31,824,062,449
  5. Step 5: Solve for x
    x = 31,824,062,449/81,724
  6. Step 6: Final answer
    x = 389,409.02

Related Problems

Find third proportional to 40,862 and 89,196.50
Half scale
Find third proportional to 163,448 and 356,786
Double scale
Find third proportional to 81,726 and 178,397
Similar ratio
Find third proportional to 122,586 and 267,589.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.