Home / 817-1,416

Finding the Third Proportional to 817 and 1,416

Calculator

Solution

The third proportional to 817 and 1,416 is: 2,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,416 = 1,416 : x
  2. Step 2: Convert to fraction form
    817/1,416 = 1,416/x
  3. Step 3: Cross multiply
    817x = 1,416 × 1,416
  4. Step 4: Simplify right side
    817x = 2,005,056
  5. Step 5: Solve for x
    x = 2,005,056/817
  6. Step 6: Final answer
    x = 2,454.17

Related Problems

Find third proportional to 408.50 and 708
Half scale
Find third proportional to 1,634 and 2,832
Double scale
Find third proportional to 819 and 1,419
Similar ratio
Find third proportional to 1,225.50 and 2,124
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.