Home / 6,560-7,232

Finding the Third Proportional to 6,560 and 7,232

Calculator

Solution

The third proportional to 6,560 and 7,232 is: 7,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560 : 7,232 = 7,232 : x
  2. Step 2: Convert to fraction form
    6,560/7,232 = 7,232/x
  3. Step 3: Cross multiply
    6,560x = 7,232 × 7,232
  4. Step 4: Simplify right side
    6,560x = 52,301,824
  5. Step 5: Solve for x
    x = 52,301,824/6,560
  6. Step 6: Final answer
    x = 7,972.84

Related Problems

Find third proportional to 3,280 and 3,616
Half scale
Find third proportional to 13,120 and 14,464
Double scale
Find third proportional to 6,562 and 7,234
Similar ratio
Find third proportional to 9,840 and 10,848
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.