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

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.