Home / 6,565-13,382

Finding the Third Proportional to 6,565 and 13,382

Calculator

Solution

The third proportional to 6,565 and 13,382 is: 27,277.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565 : 13,382 = 13,382 : x
  2. Step 2: Convert to fraction form
    6,565/13,382 = 13,382/x
  3. Step 3: Cross multiply
    6,565x = 13,382 × 13,382
  4. Step 4: Simplify right side
    6,565x = 179,077,924
  5. Step 5: Solve for x
    x = 179,077,924/6,565
  6. Step 6: Final answer
    x = 27,277.67

Related Problems

Find third proportional to 3,282.50 and 6,691
Half scale
Find third proportional to 13,130 and 26,764
Double scale
Find third proportional to 6,567 and 13,386
Similar ratio
Find third proportional to 9,847.50 and 20,073
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.