Home / 3,460-8,346

Finding the Third Proportional to 3,460 and 8,346

Calculator

Solution

The third proportional to 3,460 and 8,346 is: 20,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460 : 8,346 = 8,346 : x
  2. Step 2: Convert to fraction form
    3,460/8,346 = 8,346/x
  3. Step 3: Cross multiply
    3,460x = 8,346 × 8,346
  4. Step 4: Simplify right side
    3,460x = 69,655,716
  5. Step 5: Solve for x
    x = 69,655,716/3,460
  6. Step 6: Final answer
    x = 20,131.71

Related Problems

Find third proportional to 1,730 and 4,173
Half scale
Find third proportional to 6,920 and 16,692
Double scale
Find third proportional to 3,462 and 8,351
Similar ratio
Find third proportional to 5,190 and 12,519
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.