Home / 83,077-182,767

Finding the Third Proportional to 83,077 and 182,767

Calculator

Solution

The third proportional to 83,077 and 182,767 is: 402,082.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,077 : 182,767 = 182,767 : x
  2. Step 2: Convert to fraction form
    83,077/182,767 = 182,767/x
  3. Step 3: Cross multiply
    83,077x = 182,767 × 182,767
  4. Step 4: Simplify right side
    83,077x = 33,403,776,289
  5. Step 5: Solve for x
    x = 33,403,776,289/83,077
  6. Step 6: Final answer
    x = 402,082.12

Related Problems

Find third proportional to 41,538.50 and 91,383.50
Half scale
Find third proportional to 166,154 and 365,534
Double scale
Find third proportional to 83,079 and 182,771
Similar ratio
Find third proportional to 124,615.50 and 274,150.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.