Home / 494-766

Finding the Third Proportional to 494 and 766

Calculator

Solution

The third proportional to 494 and 766 is: 1,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 766 = 766 : x
  2. Step 2: Convert to fraction form
    494/766 = 766/x
  3. Step 3: Cross multiply
    494x = 766 × 766
  4. Step 4: Simplify right side
    494x = 586,756
  5. Step 5: Solve for x
    x = 586,756/494
  6. Step 6: Final answer
    x = 1,187.77

Related Problems

Find third proportional to 247 and 383
Half scale
Find third proportional to 988 and 1,532
Double scale
Find third proportional to 496 and 769
Similar ratio
Find third proportional to 741 and 1,149
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.