Home / 120,782-284,193

Finding the Third Proportional to 120,782 and 284,193

Calculator

Solution

The third proportional to 120,782 and 284,193 is: 668,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,782 : 284,193 = 284,193 : x
  2. Step 2: Convert to fraction form
    120,782/284,193 = 284,193/x
  3. Step 3: Cross multiply
    120,782x = 284,193 × 284,193
  4. Step 4: Simplify right side
    120,782x = 80,765,661,249
  5. Step 5: Solve for x
    x = 80,765,661,249/120,782
  6. Step 6: Final answer
    x = 668,689.55

Related Problems

Find third proportional to 60,391 and 142,096.50
Half scale
Find third proportional to 241,564 and 568,386
Double scale
Find third proportional to 120,784 and 284,198
Similar ratio
Find third proportional to 181,173 and 426,289.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.