Home / 1,569-2,082

Finding the Third Proportional to 1,569 and 2,082

Calculator

Solution

The third proportional to 1,569 and 2,082 is: 2,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569 : 2,082 = 2,082 : x
  2. Step 2: Convert to fraction form
    1,569/2,082 = 2,082/x
  3. Step 3: Cross multiply
    1,569x = 2,082 × 2,082
  4. Step 4: Simplify right side
    1,569x = 4,334,724
  5. Step 5: Solve for x
    x = 4,334,724/1,569
  6. Step 6: Final answer
    x = 2,762.73

Related Problems

Find third proportional to 784.50 and 1,041
Half scale
Find third proportional to 3,138 and 4,164
Double scale
Find third proportional to 1,571 and 2,085
Similar ratio
Find third proportional to 2,353.50 and 3,123
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.