Home / 1,408-2,146

Finding the Third Proportional to 1,408 and 2,146

Calculator

Solution

The third proportional to 1,408 and 2,146 is: 3,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408 : 2,146 = 2,146 : x
  2. Step 2: Convert to fraction form
    1,408/2,146 = 2,146/x
  3. Step 3: Cross multiply
    1,408x = 2,146 × 2,146
  4. Step 4: Simplify right side
    1,408x = 4,605,316
  5. Step 5: Solve for x
    x = 4,605,316/1,408
  6. Step 6: Final answer
    x = 3,270.82

Related Problems

Find third proportional to 704 and 1,073
Half scale
Find third proportional to 2,816 and 4,292
Double scale
Find third proportional to 1,410 and 2,149
Similar ratio
Find third proportional to 2,112 and 3,219
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.