Home / 342-856

Finding the Third Proportional to 342 and 856

Calculator

Solution

The third proportional to 342 and 856 is: 2,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 856 = 856 : x
  2. Step 2: Convert to fraction form
    342/856 = 856/x
  3. Step 3: Cross multiply
    342x = 856 × 856
  4. Step 4: Simplify right side
    342x = 732,736
  5. Step 5: Solve for x
    x = 732,736/342
  6. Step 6: Final answer
    x = 2,142.50

Related Problems

Find third proportional to 171 and 428
Half scale
Find third proportional to 684 and 1,712
Double scale
Find third proportional to 344 and 861
Similar ratio
Find third proportional to 513 and 1,284
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.