Home / 693-1,411

Finding the Third Proportional to 693 and 1,411

Calculator

Solution

The third proportional to 693 and 1,411 is: 2,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    693 : 1,411 = 1,411 : x
  2. Step 2: Convert to fraction form
    693/1,411 = 1,411/x
  3. Step 3: Cross multiply
    693x = 1,411 × 1,411
  4. Step 4: Simplify right side
    693x = 1,990,921
  5. Step 5: Solve for x
    x = 1,990,921/693
  6. Step 6: Final answer
    x = 2,872.90

Related Problems

Find third proportional to 346.50 and 705.50
Half scale
Find third proportional to 1,386 and 2,822
Double scale
Find third proportional to 695 and 1,415
Similar ratio
Find third proportional to 1,039.50 and 2,116.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.