Home / 773-821

Finding the Third Proportional to 773 and 821

Calculator

Solution

The third proportional to 773 and 821 is: 871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    773 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    773/821 = 821/x
  3. Step 3: Cross multiply
    773x = 821 × 821
  4. Step 4: Simplify right side
    773x = 674,041
  5. Step 5: Solve for x
    x = 674,041/773
  6. Step 6: Final answer
    x = 871.98

Related Problems

Find third proportional to 386.50 and 410.50
Half scale
Find third proportional to 1,546 and 1,642
Double scale
Find third proportional to 775 and 823
Similar ratio
Find third proportional to 1,159.50 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.