Home / 177,000-280,410

Finding the Third Proportional to 177,000 and 280,410

Calculator

Solution

The third proportional to 177,000 and 280,410 is: 444,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000 : 280,410 = 280,410 : x
  2. Step 2: Convert to fraction form
    177,000/280,410 = 280,410/x
  3. Step 3: Cross multiply
    177,000x = 280,410 × 280,410
  4. Step 4: Simplify right side
    177,000x = 78,629,768,100
  5. Step 5: Solve for x
    x = 78,629,768,100/177,000
  6. Step 6: Final answer
    x = 444,235.98

Related Problems

Find third proportional to 88,500 and 140,205
Half scale
Find third proportional to 354,000 and 560,820
Double scale
Find third proportional to 177,002 and 280,413
Similar ratio
Find third proportional to 265,500 and 420,615
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.