Home / 846-1,416

Finding the Third Proportional to 846 and 1,416

Calculator

Solution

The third proportional to 846 and 1,416 is: 2,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    846 : 1,416 = 1,416 : x
  2. Step 2: Convert to fraction form
    846/1,416 = 1,416/x
  3. Step 3: Cross multiply
    846x = 1,416 × 1,416
  4. Step 4: Simplify right side
    846x = 2,005,056
  5. Step 5: Solve for x
    x = 2,005,056/846
  6. Step 6: Final answer
    x = 2,370.04

Related Problems

Find third proportional to 423 and 708
Half scale
Find third proportional to 1,692 and 2,832
Double scale
Find third proportional to 848 and 1,419
Similar ratio
Find third proportional to 1,269 and 2,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.