Home / 82,906-180,989

Finding the Third Proportional to 82,906 and 180,989

Calculator

Solution

The third proportional to 82,906 and 180,989 is: 395,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,906 : 180,989 = 180,989 : x
  2. Step 2: Convert to fraction form
    82,906/180,989 = 180,989/x
  3. Step 3: Cross multiply
    82,906x = 180,989 × 180,989
  4. Step 4: Simplify right side
    82,906x = 32,757,018,121
  5. Step 5: Solve for x
    x = 32,757,018,121/82,906
  6. Step 6: Final answer
    x = 395,110.34

Related Problems

Find third proportional to 41,453 and 90,494.50
Half scale
Find third proportional to 165,812 and 361,978
Double scale
Find third proportional to 82,908 and 180,993
Similar ratio
Find third proportional to 124,359 and 271,483.50
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.