Home / 1,080-1,693

Finding the Third Proportional to 1,080 and 1,693

Calculator

Solution

The third proportional to 1,080 and 1,693 is: 2,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080 : 1,693 = 1,693 : x
  2. Step 2: Convert to fraction form
    1,080/1,693 = 1,693/x
  3. Step 3: Cross multiply
    1,080x = 1,693 × 1,693
  4. Step 4: Simplify right side
    1,080x = 2,866,249
  5. Step 5: Solve for x
    x = 2,866,249/1,080
  6. Step 6: Final answer
    x = 2,653.93

Related Problems

Find third proportional to 540 and 846.50
Half scale
Find third proportional to 2,160 and 3,386
Double scale
Find third proportional to 1,082 and 1,696
Similar ratio
Find third proportional to 1,620 and 2,539.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.