Home / 545-821

Finding the Third Proportional to 545 and 821

Calculator

Solution

The third proportional to 545 and 821 is: 1,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    545 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    545/821 = 821/x
  3. Step 3: Cross multiply
    545x = 821 × 821
  4. Step 4: Simplify right side
    545x = 674,041
  5. Step 5: Solve for x
    x = 674,041/545
  6. Step 6: Final answer
    x = 1,236.77

Related Problems

Find third proportional to 272.50 and 410.50
Half scale
Find third proportional to 1,090 and 1,642
Double scale
Find third proportional to 547 and 824
Similar ratio
Find third proportional to 817.50 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.