Home / 83,000-180,074

Finding the Third Proportional to 83,000 and 180,074

Calculator

Solution

The third proportional to 83,000 and 180,074 is: 390,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000 : 180,074 = 180,074 : x
  2. Step 2: Convert to fraction form
    83,000/180,074 = 180,074/x
  3. Step 3: Cross multiply
    83,000x = 180,074 × 180,074
  4. Step 4: Simplify right side
    83,000x = 32,426,645,476
  5. Step 5: Solve for x
    x = 32,426,645,476/83,000
  6. Step 6: Final answer
    x = 390,682.48

Related Problems

Find third proportional to 41,500 and 90,037
Half scale
Find third proportional to 166,000 and 360,148
Double scale
Find third proportional to 83,002 and 180,078
Similar ratio
Find third proportional to 124,500 and 270,111
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.