Home / 12,982-20,342

Finding the Third Proportional to 12,982 and 20,342

Calculator

Solution

The third proportional to 12,982 and 20,342 is: 31,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,982 : 20,342 = 20,342 : x
  2. Step 2: Convert to fraction form
    12,982/20,342 = 20,342/x
  3. Step 3: Cross multiply
    12,982x = 20,342 × 20,342
  4. Step 4: Simplify right side
    12,982x = 413,796,964
  5. Step 5: Solve for x
    x = 413,796,964/12,982
  6. Step 6: Final answer
    x = 31,874.67

Related Problems

Find third proportional to 6,491 and 10,171
Half scale
Find third proportional to 25,964 and 40,684
Double scale
Find third proportional to 12,984 and 20,345
Similar ratio
Find third proportional to 19,473 and 30,513
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.