Home / 1,216-2,609

Finding the Third Proportional to 1,216 and 2,609

Calculator

Solution

The third proportional to 1,216 and 2,609 is: 5,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 2,609 = 2,609 : x
  2. Step 2: Convert to fraction form
    1,216/2,609 = 2,609/x
  3. Step 3: Cross multiply
    1,216x = 2,609 × 2,609
  4. Step 4: Simplify right side
    1,216x = 6,806,881
  5. Step 5: Solve for x
    x = 6,806,881/1,216
  6. Step 6: Final answer
    x = 5,597.76

Related Problems

Find third proportional to 608 and 1,304.50
Half scale
Find third proportional to 2,432 and 5,218
Double scale
Find third proportional to 1,218 and 2,613
Similar ratio
Find third proportional to 1,824 and 3,913.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.