Home / 743-1,823

Finding the Third Proportional to 743 and 1,823

Calculator

Solution

The third proportional to 743 and 1,823 is: 4,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    743 : 1,823 = 1,823 : x
  2. Step 2: Convert to fraction form
    743/1,823 = 1,823/x
  3. Step 3: Cross multiply
    743x = 1,823 × 1,823
  4. Step 4: Simplify right side
    743x = 3,323,329
  5. Step 5: Solve for x
    x = 3,323,329/743
  6. Step 6: Final answer
    x = 4,472.85

Related Problems

Find third proportional to 371.50 and 911.50
Half scale
Find third proportional to 1,486 and 3,646
Double scale
Find third proportional to 745 and 1,828
Similar ratio
Find third proportional to 1,114.50 and 2,734.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.