Home / 856-1,230

Finding the Third Proportional to 856 and 1,230

Calculator

Solution

The third proportional to 856 and 1,230 is: 1,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,230 = 1,230 : x
  2. Step 2: Convert to fraction form
    856/1,230 = 1,230/x
  3. Step 3: Cross multiply
    856x = 1,230 × 1,230
  4. Step 4: Simplify right side
    856x = 1,512,900
  5. Step 5: Solve for x
    x = 1,512,900/856
  6. Step 6: Final answer
    x = 1,767.41

Related Problems

Find third proportional to 428 and 615
Half scale
Find third proportional to 1,712 and 2,460
Double scale
Find third proportional to 858 and 1,233
Similar ratio
Find third proportional to 1,284 and 1,845
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.