Home / 3,580-8,354

Finding the Third Proportional to 3,580 and 8,354

Calculator

Solution

The third proportional to 3,580 and 8,354 is: 19,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 8,354 = 8,354 : x
  2. Step 2: Convert to fraction form
    3,580/8,354 = 8,354/x
  3. Step 3: Cross multiply
    3,580x = 8,354 × 8,354
  4. Step 4: Simplify right side
    3,580x = 69,789,316
  5. Step 5: Solve for x
    x = 69,789,316/3,580
  6. Step 6: Final answer
    x = 19,494.22

Related Problems

Find third proportional to 1,790 and 4,177
Half scale
Find third proportional to 7,160 and 16,708
Double scale
Find third proportional to 3,582 and 8,359
Similar ratio
Find third proportional to 5,370 and 12,531
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.