Home / 3,580-6,484

Finding the Third Proportional to 3,580 and 6,484

Calculator

Solution

The third proportional to 3,580 and 6,484 is: 11,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 6,484 = 6,484 : x
  2. Step 2: Convert to fraction form
    3,580/6,484 = 6,484/x
  3. Step 3: Cross multiply
    3,580x = 6,484 × 6,484
  4. Step 4: Simplify right side
    3,580x = 42,042,256
  5. Step 5: Solve for x
    x = 42,042,256/3,580
  6. Step 6: Final answer
    x = 11,743.65

Related Problems

Find third proportional to 1,790 and 3,242
Half scale
Find third proportional to 7,160 and 12,968
Double scale
Find third proportional to 3,582 and 6,488
Similar ratio
Find third proportional to 5,370 and 9,726
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.