Home / 662-766

Finding the Third Proportional to 662 and 766

Calculator

Solution

The third proportional to 662 and 766 is: 886.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    662 : 766 = 766 : x
  2. Step 2: Convert to fraction form
    662/766 = 766/x
  3. Step 3: Cross multiply
    662x = 766 × 766
  4. Step 4: Simplify right side
    662x = 586,756
  5. Step 5: Solve for x
    x = 586,756/662
  6. Step 6: Final answer
    x = 886.34

Related Problems

Find third proportional to 331 and 383
Half scale
Find third proportional to 1,324 and 1,532
Double scale
Find third proportional to 664 and 768
Similar ratio
Find third proportional to 993 and 1,149
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.