Home / 8,200-9,640

Finding the Third Proportional to 8,200 and 9,640

Calculator

Solution

The third proportional to 8,200 and 9,640 is: 11,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200 : 9,640 = 9,640 : x
  2. Step 2: Convert to fraction form
    8,200/9,640 = 9,640/x
  3. Step 3: Cross multiply
    8,200x = 9,640 × 9,640
  4. Step 4: Simplify right side
    8,200x = 92,929,600
  5. Step 5: Solve for x
    x = 92,929,600/8,200
  6. Step 6: Final answer
    x = 11,332.88

Related Problems

Find third proportional to 4,100 and 4,820
Half scale
Find third proportional to 16,400 and 19,280
Double scale
Find third proportional to 8,202 and 9,642
Similar ratio
Find third proportional to 12,300 and 14,460
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.