Home / 581-669

Finding the Third Proportional to 581 and 669

Calculator

Solution

The third proportional to 581 and 669 is: 770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581 : 669 = 669 : x
  2. Step 2: Convert to fraction form
    581/669 = 669/x
  3. Step 3: Cross multiply
    581x = 669 × 669
  4. Step 4: Simplify right side
    581x = 447,561
  5. Step 5: Solve for x
    x = 447,561/581
  6. Step 6: Final answer
    x = 770.33

Related Problems

Find third proportional to 290.50 and 334.50
Half scale
Find third proportional to 1,162 and 1,338
Double scale
Find third proportional to 583 and 671
Similar ratio
Find third proportional to 871.50 and 1,003.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.