Home / 2,257-3,464

Finding the Third Proportional to 2,257 and 3,464

Calculator

Solution

The third proportional to 2,257 and 3,464 is: 5,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257 : 3,464 = 3,464 : x
  2. Step 2: Convert to fraction form
    2,257/3,464 = 3,464/x
  3. Step 3: Cross multiply
    2,257x = 3,464 × 3,464
  4. Step 4: Simplify right side
    2,257x = 11,999,296
  5. Step 5: Solve for x
    x = 11,999,296/2,257
  6. Step 6: Final answer
    x = 5,316.48

Related Problems

Find third proportional to 1,128.50 and 1,732
Half scale
Find third proportional to 4,514 and 6,928
Double scale
Find third proportional to 2,259 and 3,467
Similar ratio
Find third proportional to 3,385.50 and 5,196
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.