Home / 334-856

Finding the Third Proportional to 334 and 856

Calculator

Solution

The third proportional to 334 and 856 is: 2,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 856 = 856 : x
  2. Step 2: Convert to fraction form
    334/856 = 856/x
  3. Step 3: Cross multiply
    334x = 856 × 856
  4. Step 4: Simplify right side
    334x = 732,736
  5. Step 5: Solve for x
    x = 732,736/334
  6. Step 6: Final answer
    x = 2,193.82

Related Problems

Find third proportional to 167 and 428
Half scale
Find third proportional to 668 and 1,712
Double scale
Find third proportional to 336 and 861
Similar ratio
Find third proportional to 501 and 1,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.