Home / 1,317-2,049

Finding the Third Proportional to 1,317 and 2,049

Calculator

Solution

The third proportional to 1,317 and 2,049 is: 3,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317 : 2,049 = 2,049 : x
  2. Step 2: Convert to fraction form
    1,317/2,049 = 2,049/x
  3. Step 3: Cross multiply
    1,317x = 2,049 × 2,049
  4. Step 4: Simplify right side
    1,317x = 4,198,401
  5. Step 5: Solve for x
    x = 4,198,401/1,317
  6. Step 6: Final answer
    x = 3,187.85

Related Problems

Find third proportional to 658.50 and 1,024.50
Half scale
Find third proportional to 2,634 and 4,098
Double scale
Find third proportional to 1,319 and 2,052
Similar ratio
Find third proportional to 1,975.50 and 3,073.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.