Home / 6,409-13,577

Finding the Third Proportional to 6,409 and 13,577

Calculator

Solution

The third proportional to 6,409 and 13,577 is: 28,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409 : 13,577 = 13,577 : x
  2. Step 2: Convert to fraction form
    6,409/13,577 = 13,577/x
  3. Step 3: Cross multiply
    6,409x = 13,577 × 13,577
  4. Step 4: Simplify right side
    6,409x = 184,334,929
  5. Step 5: Solve for x
    x = 184,334,929/6,409
  6. Step 6: Final answer
    x = 28,761.89

Related Problems

Find third proportional to 3,204.50 and 6,788.50
Half scale
Find third proportional to 12,818 and 27,154
Double scale
Find third proportional to 6,411 and 13,581
Similar ratio
Find third proportional to 9,613.50 and 20,365.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.