Home / 418.61-823.92

Finding the Third Proportional to 418.61 and 823.92

Calculator

Solution

The third proportional to 418.61 and 823.92 is: 1,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.61 : 823.92 = 823.92 : x
  2. Step 2: Convert to fraction form
    418.61/823.92 = 823.92/x
  3. Step 3: Cross multiply
    418.61x = 823.92 × 823.92
  4. Step 4: Simplify right side
    418.61x = 678,847.26
  5. Step 5: Solve for x
    x = 678,847.26/418.61
  6. Step 6: Final answer
    x = 1,621.69

Related Problems

Find third proportional to 209.30 and 411.96
Half scale
Find third proportional to 837.21 and 1,647.84
Double scale
Find third proportional to 421 and 828
Similar ratio
Find third proportional to 627.91 and 1,235.88
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.