Home / 1,551-1,823

Finding the Third Proportional to 1,551 and 1,823

Calculator

Solution

The third proportional to 1,551 and 1,823 is: 2,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551 : 1,823 = 1,823 : x
  2. Step 2: Convert to fraction form
    1,551/1,823 = 1,823/x
  3. Step 3: Cross multiply
    1,551x = 1,823 × 1,823
  4. Step 4: Simplify right side
    1,551x = 3,323,329
  5. Step 5: Solve for x
    x = 3,323,329/1,551
  6. Step 6: Final answer
    x = 2,142.70

Related Problems

Find third proportional to 775.50 and 911.50
Half scale
Find third proportional to 3,102 and 3,646
Double scale
Find third proportional to 1,553 and 1,825
Similar ratio
Find third proportional to 2,326.50 and 2,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.