Home / 1,314-1,474

Finding the Third Proportional to 1,314 and 1,474

Calculator

Solution

The third proportional to 1,314 and 1,474 is: 1,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 1,474 = 1,474 : x
  2. Step 2: Convert to fraction form
    1,314/1,474 = 1,474/x
  3. Step 3: Cross multiply
    1,314x = 1,474 × 1,474
  4. Step 4: Simplify right side
    1,314x = 2,172,676
  5. Step 5: Solve for x
    x = 2,172,676/1,314
  6. Step 6: Final answer
    x = 1,653.48

Related Problems

Find third proportional to 657 and 737
Half scale
Find third proportional to 2,628 and 2,948
Double scale
Find third proportional to 1,316 and 1,476
Similar ratio
Find third proportional to 1,971 and 2,211
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.