Home / 82,858-177,324

Finding the Third Proportional to 82,858 and 177,324

Calculator

Solution

The third proportional to 82,858 and 177,324 is: 379,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858 : 177,324 = 177,324 : x
  2. Step 2: Convert to fraction form
    82,858/177,324 = 177,324/x
  3. Step 3: Cross multiply
    82,858x = 177,324 × 177,324
  4. Step 4: Simplify right side
    82,858x = 31,443,800,976
  5. Step 5: Solve for x
    x = 31,443,800,976/82,858
  6. Step 6: Final answer
    x = 379,490.22

Related Problems

Find third proportional to 41,429 and 88,662
Half scale
Find third proportional to 165,716 and 354,648
Double scale
Find third proportional to 82,860 and 177,328
Similar ratio
Find third proportional to 124,287 and 265,986
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.