Home / 760-1,074

Finding the Third Proportional to 760 and 1,074

Calculator

Solution

The third proportional to 760 and 1,074 is: 1,517.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    760 : 1,074 = 1,074 : x
  2. Step 2: Convert to fraction form
    760/1,074 = 1,074/x
  3. Step 3: Cross multiply
    760x = 1,074 × 1,074
  4. Step 4: Simplify right side
    760x = 1,153,476
  5. Step 5: Solve for x
    x = 1,153,476/760
  6. Step 6: Final answer
    x = 1,517.73

Related Problems

Find third proportional to 380 and 537
Half scale
Find third proportional to 1,520 and 2,148
Double scale
Find third proportional to 762 and 1,077
Similar ratio
Find third proportional to 1,140 and 1,611
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.