Home / 1,014-1,512

Finding the Third Proportional to 1,014 and 1,512

Calculator

Solution

The third proportional to 1,014 and 1,512 is: 2,254.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,512 = 1,512 : x
  2. Step 2: Convert to fraction form
    1,014/1,512 = 1,512/x
  3. Step 3: Cross multiply
    1,014x = 1,512 × 1,512
  4. Step 4: Simplify right side
    1,014x = 2,286,144
  5. Step 5: Solve for x
    x = 2,286,144/1,014
  6. Step 6: Final answer
    x = 2,254.58

Related Problems

Find third proportional to 507 and 756
Half scale
Find third proportional to 2,028 and 3,024
Double scale
Find third proportional to 1,016 and 1,515
Similar ratio
Find third proportional to 1,521 and 2,268
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.