Home / 814-982

Finding the Third Proportional to 814 and 982

Calculator

Solution

The third proportional to 814 and 982 is: 1,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 982 = 982 : x
  2. Step 2: Convert to fraction form
    814/982 = 982/x
  3. Step 3: Cross multiply
    814x = 982 × 982
  4. Step 4: Simplify right side
    814x = 964,324
  5. Step 5: Solve for x
    x = 964,324/814
  6. Step 6: Final answer
    x = 1,184.67

Related Problems

Find third proportional to 407 and 491
Half scale
Find third proportional to 1,628 and 1,964
Double scale
Find third proportional to 816 and 984
Similar ratio
Find third proportional to 1,221 and 1,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.