Home / 707-1,686

Finding the Third Proportional to 707 and 1,686

Calculator

Solution

The third proportional to 707 and 1,686 is: 4,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    707 : 1,686 = 1,686 : x
  2. Step 2: Convert to fraction form
    707/1,686 = 1,686/x
  3. Step 3: Cross multiply
    707x = 1,686 × 1,686
  4. Step 4: Simplify right side
    707x = 2,842,596
  5. Step 5: Solve for x
    x = 2,842,596/707
  6. Step 6: Final answer
    x = 4,020.64

Related Problems

Find third proportional to 353.50 and 843
Half scale
Find third proportional to 1,414 and 3,372
Double scale
Find third proportional to 709 and 1,691
Similar ratio
Find third proportional to 1,060.50 and 2,529
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.