Home / 1,698-2,232

Finding the Third Proportional to 1,698 and 2,232

Calculator

Solution

The third proportional to 1,698 and 2,232 is: 2,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,232 = 2,232 : x
  2. Step 2: Convert to fraction form
    1,698/2,232 = 2,232/x
  3. Step 3: Cross multiply
    1,698x = 2,232 × 2,232
  4. Step 4: Simplify right side
    1,698x = 4,981,824
  5. Step 5: Solve for x
    x = 4,981,824/1,698
  6. Step 6: Final answer
    x = 2,933.94

Related Problems

Find third proportional to 849 and 1,116
Half scale
Find third proportional to 3,396 and 4,464
Double scale
Find third proportional to 1,700 and 2,235
Similar ratio
Find third proportional to 2,547 and 3,348
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.