Home / 457-821

Finding the Third Proportional to 457 and 821

Calculator

Solution

The third proportional to 457 and 821 is: 1,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457 : 821 = 821 : x
  2. Step 2: Convert to fraction form
    457/821 = 821/x
  3. Step 3: Cross multiply
    457x = 821 × 821
  4. Step 4: Simplify right side
    457x = 674,041
  5. Step 5: Solve for x
    x = 674,041/457
  6. Step 6: Final answer
    x = 1,474.93

Related Problems

Find third proportional to 228.50 and 410.50
Half scale
Find third proportional to 914 and 1,642
Double scale
Find third proportional to 459 and 825
Similar ratio
Find third proportional to 685.50 and 1,231.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.