Home / 632-698

Finding the Third Proportional to 632 and 698

Calculator

Solution

The third proportional to 632 and 698 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    632 : 698 = 698 : x
  2. Step 2: Convert to fraction form
    632/698 = 698/x
  3. Step 3: Cross multiply
    632x = 698 × 698
  4. Step 4: Simplify right side
    632x = 487,204
  5. Step 5: Solve for x
    x = 487,204/632
  6. Step 6: Final answer
    x = 770.89

Related Problems

Find third proportional to 316 and 349
Half scale
Find third proportional to 1,264 and 1,396
Double scale
Find third proportional to 634 and 700
Similar ratio
Find third proportional to 948 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.