Home / 698-916

Finding the Third Proportional to 698 and 916

Calculator

Solution

The third proportional to 698 and 916 is: 1,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    698 : 916 = 916 : x
  2. Step 2: Convert to fraction form
    698/916 = 916/x
  3. Step 3: Cross multiply
    698x = 916 × 916
  4. Step 4: Simplify right side
    698x = 839,056
  5. Step 5: Solve for x
    x = 839,056/698
  6. Step 6: Final answer
    x = 1,202.09

Related Problems

Find third proportional to 349 and 458
Half scale
Find third proportional to 1,396 and 1,832
Double scale
Find third proportional to 700 and 919
Similar ratio
Find third proportional to 1,047 and 1,374
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.