Home / 3,420-4,846

Finding the Third Proportional to 3,420 and 4,846

Calculator

Solution

The third proportional to 3,420 and 4,846 is: 6,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 4,846 = 4,846 : x
  2. Step 2: Convert to fraction form
    3,420/4,846 = 4,846/x
  3. Step 3: Cross multiply
    3,420x = 4,846 × 4,846
  4. Step 4: Simplify right side
    3,420x = 23,483,716
  5. Step 5: Solve for x
    x = 23,483,716/3,420
  6. Step 6: Final answer
    x = 6,866.58

Related Problems

Find third proportional to 1,710 and 2,423
Half scale
Find third proportional to 6,840 and 9,692
Double scale
Find third proportional to 3,422 and 4,849
Similar ratio
Find third proportional to 5,130 and 7,269
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.