Home / 3,410-5,212

Finding the Third Proportional to 3,410 and 5,212

Calculator

Solution

The third proportional to 3,410 and 5,212 is: 7,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,212 = 5,212 : x
  2. Step 2: Convert to fraction form
    3,410/5,212 = 5,212/x
  3. Step 3: Cross multiply
    3,410x = 5,212 × 5,212
  4. Step 4: Simplify right side
    3,410x = 27,164,944
  5. Step 5: Solve for x
    x = 27,164,944/3,410
  6. Step 6: Final answer
    x = 7,966.26

Related Problems

Find third proportional to 1,705 and 2,606
Half scale
Find third proportional to 6,820 and 10,424
Double scale
Find third proportional to 3,412 and 5,215
Similar ratio
Find third proportional to 5,115 and 7,818
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.