Home / 8,186-12,982

Finding the Third Proportional to 8,186 and 12,982

Calculator

Solution

The third proportional to 8,186 and 12,982 is: 20,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186 : 12,982 = 12,982 : x
  2. Step 2: Convert to fraction form
    8,186/12,982 = 12,982/x
  3. Step 3: Cross multiply
    8,186x = 12,982 × 12,982
  4. Step 4: Simplify right side
    8,186x = 168,532,324
  5. Step 5: Solve for x
    x = 168,532,324/8,186
  6. Step 6: Final answer
    x = 20,587.87

Related Problems

Find third proportional to 4,093 and 6,491
Half scale
Find third proportional to 16,372 and 25,964
Double scale
Find third proportional to 8,188 and 12,985
Similar ratio
Find third proportional to 12,279 and 19,473
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.