Home / 326.06-686.34

Finding the Third Proportional to 326.06 and 686.34

Calculator

Solution

The third proportional to 326.06 and 686.34 is: 1,444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 686.34 = 686.34 : x
  2. Step 2: Convert to fraction form
    326.06/686.34 = 686.34/x
  3. Step 3: Cross multiply
    326.06x = 686.34 × 686.34
  4. Step 4: Simplify right side
    326.06x = 471,067.74
  5. Step 5: Solve for x
    x = 471,067.74/326.06
  6. Step 6: Final answer
    x = 1,444.72

Related Problems

Find third proportional to 163.03 and 343.17
Half scale
Find third proportional to 652.13 and 1,372.69
Double scale
Find third proportional to 328 and 691
Similar ratio
Find third proportional to 489.09 and 1,029.52
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.