Home / 727-1,678

Finding the Third Proportional to 727 and 1,678

Calculator

Solution

The third proportional to 727 and 1,678 is: 3,873.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727 : 1,678 = 1,678 : x
  2. Step 2: Convert to fraction form
    727/1,678 = 1,678/x
  3. Step 3: Cross multiply
    727x = 1,678 × 1,678
  4. Step 4: Simplify right side
    727x = 2,815,684
  5. Step 5: Solve for x
    x = 2,815,684/727
  6. Step 6: Final answer
    x = 3,873.02

Related Problems

Find third proportional to 363.50 and 839
Half scale
Find third proportional to 1,454 and 3,356
Double scale
Find third proportional to 729 and 1,683
Similar ratio
Find third proportional to 1,090.50 and 2,517
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.