Home / 3,410-5,649

Finding the Third Proportional to 3,410 and 5,649

Calculator

Solution

The third proportional to 3,410 and 5,649 is: 9,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410 : 5,649 = 5,649 : x
  2. Step 2: Convert to fraction form
    3,410/5,649 = 5,649/x
  3. Step 3: Cross multiply
    3,410x = 5,649 × 5,649
  4. Step 4: Simplify right side
    3,410x = 31,911,201
  5. Step 5: Solve for x
    x = 31,911,201/3,410
  6. Step 6: Final answer
    x = 9,358.12

Related Problems

Find third proportional to 1,705 and 2,824.50
Half scale
Find third proportional to 6,820 and 11,298
Double scale
Find third proportional to 3,412 and 5,652
Similar ratio
Find third proportional to 5,115 and 8,473.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.