Home / 1,113-1,233

Finding the Third Proportional to 1,113 and 1,233

Calculator

Solution

The third proportional to 1,113 and 1,233 is: 1,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113 : 1,233 = 1,233 : x
  2. Step 2: Convert to fraction form
    1,113/1,233 = 1,233/x
  3. Step 3: Cross multiply
    1,113x = 1,233 × 1,233
  4. Step 4: Simplify right side
    1,113x = 1,520,289
  5. Step 5: Solve for x
    x = 1,520,289/1,113
  6. Step 6: Final answer
    x = 1,365.94

Related Problems

Find third proportional to 556.50 and 616.50
Half scale
Find third proportional to 2,226 and 2,466
Double scale
Find third proportional to 1,115 and 1,235
Similar ratio
Find third proportional to 1,669.50 and 1,849.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.