Home / 302-766

Finding the Third Proportional to 302 and 766

Calculator

Solution

The third proportional to 302 and 766 is: 1,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 766 = 766 : x
  2. Step 2: Convert to fraction form
    302/766 = 766/x
  3. Step 3: Cross multiply
    302x = 766 × 766
  4. Step 4: Simplify right side
    302x = 586,756
  5. Step 5: Solve for x
    x = 586,756/302
  6. Step 6: Final answer
    x = 1,942.90

Related Problems

Find third proportional to 151 and 383
Half scale
Find third proportional to 604 and 1,532
Double scale
Find third proportional to 304 and 771
Similar ratio
Find third proportional to 453 and 1,149
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.