Home / 982-1,616

Finding the Third Proportional to 982 and 1,616

Calculator

Solution

The third proportional to 982 and 1,616 is: 2,659.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    982 : 1,616 = 1,616 : x
  2. Step 2: Convert to fraction form
    982/1,616 = 1,616/x
  3. Step 3: Cross multiply
    982x = 1,616 × 1,616
  4. Step 4: Simplify right side
    982x = 2,611,456
  5. Step 5: Solve for x
    x = 2,611,456/982
  6. Step 6: Final answer
    x = 2,659.32

Related Problems

Find third proportional to 491 and 808
Half scale
Find third proportional to 1,964 and 3,232
Double scale
Find third proportional to 984 and 1,619
Similar ratio
Find third proportional to 1,473 and 2,424
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.