Home / 702-762

Finding the Third Proportional to 702 and 762

Calculator

Solution

The third proportional to 702 and 762 is: 827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    702 : 762 = 762 : x
  2. Step 2: Convert to fraction form
    702/762 = 762/x
  3. Step 3: Cross multiply
    702x = 762 × 762
  4. Step 4: Simplify right side
    702x = 580,644
  5. Step 5: Solve for x
    x = 580,644/702
  6. Step 6: Final answer
    x = 827.13

Related Problems

Find third proportional to 351 and 381
Half scale
Find third proportional to 1,404 and 1,524
Double scale
Find third proportional to 704 and 764
Similar ratio
Find third proportional to 1,053 and 1,143
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.