Home / 6,534-7,920

Finding the Third Proportional to 6,534 and 7,920

Calculator

Solution

The third proportional to 6,534 and 7,920 is: 9,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534 : 7,920 = 7,920 : x
  2. Step 2: Convert to fraction form
    6,534/7,920 = 7,920/x
  3. Step 3: Cross multiply
    6,534x = 7,920 × 7,920
  4. Step 4: Simplify right side
    6,534x = 62,726,400
  5. Step 5: Solve for x
    x = 62,726,400/6,534
  6. Step 6: Final answer
    x = 9,600

Related Problems

Find third proportional to 3,267 and 3,960
Half scale
Find third proportional to 13,068 and 15,840
Double scale
Find third proportional to 6,536 and 7,922
Similar ratio
Find third proportional to 9,801 and 11,880
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.