Home / 590-1,213

Finding the Third Proportional to 590 and 1,213

Calculator

Solution

The third proportional to 590 and 1,213 is: 2,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    590 : 1,213 = 1,213 : x
  2. Step 2: Convert to fraction form
    590/1,213 = 1,213/x
  3. Step 3: Cross multiply
    590x = 1,213 × 1,213
  4. Step 4: Simplify right side
    590x = 1,471,369
  5. Step 5: Solve for x
    x = 1,471,369/590
  6. Step 6: Final answer
    x = 2,493.85

Related Problems

Find third proportional to 295 and 606.50
Half scale
Find third proportional to 1,180 and 2,426
Double scale
Find third proportional to 592 and 1,217
Similar ratio
Find third proportional to 885 and 1,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.