Home / 681.54-1,431.42

Finding the Third Proportional to 681.54 and 1,431.42

Calculator

Solution

The third proportional to 681.54 and 1,431.42 is: 3,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.54 : 1,431.42 = 1,431.42 : x
  2. Step 2: Convert to fraction form
    681.54/1,431.42 = 1,431.42/x
  3. Step 3: Cross multiply
    681.54x = 1,431.42 × 1,431.42
  4. Step 4: Simplify right side
    681.54x = 2,048,968.58
  5. Step 5: Solve for x
    x = 2,048,968.58/681.54
  6. Step 6: Final answer
    x = 3,006.38

Related Problems

Find third proportional to 340.77 and 715.71
Half scale
Find third proportional to 1,363.08 and 2,862.84
Double scale
Find third proportional to 684 and 1,436
Similar ratio
Find third proportional to 1,022.31 and 2,147.13
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.