Home / 1,076-1,213

Finding the Third Proportional to 1,076 and 1,213

Calculator

Solution

The third proportional to 1,076 and 1,213 is: 1,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076 : 1,213 = 1,213 : x
  2. Step 2: Convert to fraction form
    1,076/1,213 = 1,213/x
  3. Step 3: Cross multiply
    1,076x = 1,213 × 1,213
  4. Step 4: Simplify right side
    1,076x = 1,471,369
  5. Step 5: Solve for x
    x = 1,471,369/1,076
  6. Step 6: Final answer
    x = 1,367.44

Related Problems

Find third proportional to 538 and 606.50
Half scale
Find third proportional to 2,152 and 2,426
Double scale
Find third proportional to 1,078 and 1,215
Similar ratio
Find third proportional to 1,614 and 1,819.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.