Home / 684-1,140

Finding the Third Proportional to 684 and 1,140

Calculator

Solution

The third proportional to 684 and 1,140 is: 1,900

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 1,140 = 1,140 : x
  2. Step 2: Convert to fraction form
    684/1,140 = 1,140/x
  3. Step 3: Cross multiply
    684x = 1,140 × 1,140
  4. Step 4: Simplify right side
    684x = 1,299,600
  5. Step 5: Solve for x
    x = 1,299,600/684
  6. Step 6: Final answer
    x = 1,900

Related Problems

Find third proportional to 342 and 570
Half scale
Find third proportional to 1,368 and 2,280
Double scale
Find third proportional to 686 and 1,143
Similar ratio
Find third proportional to 1,026 and 1,710
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.