Home / 1,380-1,532

Finding the Third Proportional to 1,380 and 1,532

Calculator

Solution

The third proportional to 1,380 and 1,532 is: 1,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 1,532 = 1,532 : x
  2. Step 2: Convert to fraction form
    1,380/1,532 = 1,532/x
  3. Step 3: Cross multiply
    1,380x = 1,532 × 1,532
  4. Step 4: Simplify right side
    1,380x = 2,347,024
  5. Step 5: Solve for x
    x = 2,347,024/1,380
  6. Step 6: Final answer
    x = 1,700.74

Related Problems

Find third proportional to 690 and 766
Half scale
Find third proportional to 2,760 and 3,064
Double scale
Find third proportional to 1,382 and 1,534
Similar ratio
Find third proportional to 2,070 and 2,298
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.