Home / 8,684-9,512

Finding the Third Proportional to 8,684 and 9,512

Calculator

Solution

The third proportional to 8,684 and 9,512 is: 10,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684 : 9,512 = 9,512 : x
  2. Step 2: Convert to fraction form
    8,684/9,512 = 9,512/x
  3. Step 3: Cross multiply
    8,684x = 9,512 × 9,512
  4. Step 4: Simplify right side
    8,684x = 90,478,144
  5. Step 5: Solve for x
    x = 90,478,144/8,684
  6. Step 6: Final answer
    x = 10,418.95

Related Problems

Find third proportional to 4,342 and 4,756
Half scale
Find third proportional to 17,368 and 19,024
Double scale
Find third proportional to 8,686 and 9,514
Similar ratio
Find third proportional to 13,026 and 14,268
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.