Home / 822-1,977

Finding the Third Proportional to 822 and 1,977

Calculator

Solution

The third proportional to 822 and 1,977 is: 4,754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 1,977 = 1,977 : x
  2. Step 2: Convert to fraction form
    822/1,977 = 1,977/x
  3. Step 3: Cross multiply
    822x = 1,977 × 1,977
  4. Step 4: Simplify right side
    822x = 3,908,529
  5. Step 5: Solve for x
    x = 3,908,529/822
  6. Step 6: Final answer
    x = 4,754.90

Related Problems

Find third proportional to 411 and 988.50
Half scale
Find third proportional to 1,644 and 3,954
Double scale
Find third proportional to 824 and 1,982
Similar ratio
Find third proportional to 1,233 and 2,965.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.