Home / 634-698

Finding the Third Proportional to 634 and 698

Calculator

Solution

The third proportional to 634 and 698 is: 768.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634 : 698 = 698 : x
  2. Step 2: Convert to fraction form
    634/698 = 698/x
  3. Step 3: Cross multiply
    634x = 698 × 698
  4. Step 4: Simplify right side
    634x = 487,204
  5. Step 5: Solve for x
    x = 487,204/634
  6. Step 6: Final answer
    x = 768.46

Related Problems

Find third proportional to 317 and 349
Half scale
Find third proportional to 1,268 and 1,396
Double scale
Find third proportional to 636 and 700
Similar ratio
Find third proportional to 951 and 1,047
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.