Home / 821-1,206

Finding the Third Proportional to 821 and 1,206

Calculator

Solution

The third proportional to 821 and 1,206 is: 1,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821 : 1,206 = 1,206 : x
  2. Step 2: Convert to fraction form
    821/1,206 = 1,206/x
  3. Step 3: Cross multiply
    821x = 1,206 × 1,206
  4. Step 4: Simplify right side
    821x = 1,454,436
  5. Step 5: Solve for x
    x = 1,454,436/821
  6. Step 6: Final answer
    x = 1,771.54

Related Problems

Find third proportional to 410.50 and 603
Half scale
Find third proportional to 1,642 and 2,412
Double scale
Find third proportional to 823 and 1,209
Similar ratio
Find third proportional to 1,231.50 and 1,809
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.