Home / 977-2,049

Finding the Third Proportional to 977 and 2,049

Calculator

Solution

The third proportional to 977 and 2,049 is: 4,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977 : 2,049 = 2,049 : x
  2. Step 2: Convert to fraction form
    977/2,049 = 2,049/x
  3. Step 3: Cross multiply
    977x = 2,049 × 2,049
  4. Step 4: Simplify right side
    977x = 4,198,401
  5. Step 5: Solve for x
    x = 4,198,401/977
  6. Step 6: Final answer
    x = 4,297.24

Related Problems

Find third proportional to 488.50 and 1,024.50
Half scale
Find third proportional to 1,954 and 4,098
Double scale
Find third proportional to 979 and 2,053
Similar ratio
Find third proportional to 1,465.50 and 3,073.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.