Home / 676-767

Finding the Third Proportional to 676 and 767

Calculator

Solution

The third proportional to 676 and 767 is: 870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 767 = 767 : x
  2. Step 2: Convert to fraction form
    676/767 = 767/x
  3. Step 3: Cross multiply
    676x = 767 × 767
  4. Step 4: Simplify right side
    676x = 588,289
  5. Step 5: Solve for x
    x = 588,289/676
  6. Step 6: Final answer
    x = 870.25

Related Problems

Find third proportional to 338 and 383.50
Half scale
Find third proportional to 1,352 and 1,534
Double scale
Find third proportional to 678 and 769
Similar ratio
Find third proportional to 1,014 and 1,150.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.