Home / 742-1,408

Finding the Third Proportional to 742 and 1,408

Calculator

Solution

The third proportional to 742 and 1,408 is: 2,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    742 : 1,408 = 1,408 : x
  2. Step 2: Convert to fraction form
    742/1,408 = 1,408/x
  3. Step 3: Cross multiply
    742x = 1,408 × 1,408
  4. Step 4: Simplify right side
    742x = 1,982,464
  5. Step 5: Solve for x
    x = 1,982,464/742
  6. Step 6: Final answer
    x = 2,671.78

Related Problems

Find third proportional to 371 and 704
Half scale
Find third proportional to 1,484 and 2,816
Double scale
Find third proportional to 744 and 1,412
Similar ratio
Find third proportional to 1,113 and 2,112
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.