Home / 1,223-1,833

Finding the Third Proportional to 1,223 and 1,833

Calculator

Solution

The third proportional to 1,223 and 1,833 is: 2,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223 : 1,833 = 1,833 : x
  2. Step 2: Convert to fraction form
    1,223/1,833 = 1,833/x
  3. Step 3: Cross multiply
    1,223x = 1,833 × 1,833
  4. Step 4: Simplify right side
    1,223x = 3,359,889
  5. Step 5: Solve for x
    x = 3,359,889/1,223
  6. Step 6: Final answer
    x = 2,747.25

Related Problems

Find third proportional to 611.50 and 916.50
Half scale
Find third proportional to 2,446 and 3,666
Double scale
Find third proportional to 1,225 and 1,836
Similar ratio
Find third proportional to 1,834.50 and 2,749.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.