Home / 1,342-2,023

Finding the Third Proportional to 1,342 and 2,023

Calculator

Solution

The third proportional to 1,342 and 2,023 is: 3,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342 : 2,023 = 2,023 : x
  2. Step 2: Convert to fraction form
    1,342/2,023 = 2,023/x
  3. Step 3: Cross multiply
    1,342x = 2,023 × 2,023
  4. Step 4: Simplify right side
    1,342x = 4,092,529
  5. Step 5: Solve for x
    x = 4,092,529/1,342
  6. Step 6: Final answer
    x = 3,049.57

Related Problems

Find third proportional to 671 and 1,011.50
Half scale
Find third proportional to 2,684 and 4,046
Double scale
Find third proportional to 1,344 and 2,026
Similar ratio
Find third proportional to 2,013 and 3,034.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.