Home / 413-567

Finding the Third Proportional to 413 and 567

Calculator

Solution

The third proportional to 413 and 567 is: 778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 567 = 567 : x
  2. Step 2: Convert to fraction form
    413/567 = 567/x
  3. Step 3: Cross multiply
    413x = 567 × 567
  4. Step 4: Simplify right side
    413x = 321,489
  5. Step 5: Solve for x
    x = 321,489/413
  6. Step 6: Final answer
    x = 778.42

Related Problems

Find third proportional to 206.50 and 283.50
Half scale
Find third proportional to 826 and 1,134
Double scale
Find third proportional to 415 and 570
Similar ratio
Find third proportional to 619.50 and 850.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.