Home / 83,827-180,722

Finding the Third Proportional to 83,827 and 180,722

Calculator

Solution

The third proportional to 83,827 and 180,722 is: 389,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,827 : 180,722 = 180,722 : x
  2. Step 2: Convert to fraction form
    83,827/180,722 = 180,722/x
  3. Step 3: Cross multiply
    83,827x = 180,722 × 180,722
  4. Step 4: Simplify right side
    83,827x = 32,660,441,284
  5. Step 5: Solve for x
    x = 32,660,441,284/83,827
  6. Step 6: Final answer
    x = 389,617.20

Related Problems

Find third proportional to 41,913.50 and 90,361
Half scale
Find third proportional to 167,654 and 361,444
Double scale
Find third proportional to 83,829 and 180,726
Similar ratio
Find third proportional to 125,740.50 and 271,083
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.