Home / 1,111-1,689

Finding the Third Proportional to 1,111 and 1,689

Calculator

Solution

The third proportional to 1,111 and 1,689 is: 2,567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111 : 1,689 = 1,689 : x
  2. Step 2: Convert to fraction form
    1,111/1,689 = 1,689/x
  3. Step 3: Cross multiply
    1,111x = 1,689 × 1,689
  4. Step 4: Simplify right side
    1,111x = 2,852,721
  5. Step 5: Solve for x
    x = 2,852,721/1,111
  6. Step 6: Final answer
    x = 2,567.71

Related Problems

Find third proportional to 555.50 and 844.50
Half scale
Find third proportional to 2,222 and 3,378
Double scale
Find third proportional to 1,113 and 1,692
Similar ratio
Find third proportional to 1,666.50 and 2,533.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.