Home / 1,212-1,596

Finding the Third Proportional to 1,212 and 1,596

Calculator

Solution

The third proportional to 1,212 and 1,596 is: 2,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212 : 1,596 = 1,596 : x
  2. Step 2: Convert to fraction form
    1,212/1,596 = 1,596/x
  3. Step 3: Cross multiply
    1,212x = 1,596 × 1,596
  4. Step 4: Simplify right side
    1,212x = 2,547,216
  5. Step 5: Solve for x
    x = 2,547,216/1,212
  6. Step 6: Final answer
    x = 2,101.66

Related Problems

Find third proportional to 606 and 798
Half scale
Find third proportional to 2,424 and 3,192
Double scale
Find third proportional to 1,214 and 1,599
Similar ratio
Find third proportional to 1,818 and 2,394
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.