Home / 1,242-1,678

Finding the Third Proportional to 1,242 and 1,678

Calculator

Solution

The third proportional to 1,242 and 1,678 is: 2,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242 : 1,678 = 1,678 : x
  2. Step 2: Convert to fraction form
    1,242/1,678 = 1,678/x
  3. Step 3: Cross multiply
    1,242x = 1,678 × 1,678
  4. Step 4: Simplify right side
    1,242x = 2,815,684
  5. Step 5: Solve for x
    x = 2,815,684/1,242
  6. Step 6: Final answer
    x = 2,267.06

Related Problems

Find third proportional to 621 and 839
Half scale
Find third proportional to 2,484 and 3,356
Double scale
Find third proportional to 1,244 and 1,681
Similar ratio
Find third proportional to 1,863 and 2,517
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.