Home / 8,386-12,582

Finding the Third Proportional to 8,386 and 12,582

Calculator

Solution

The third proportional to 8,386 and 12,582 is: 18,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386 : 12,582 = 12,582 : x
  2. Step 2: Convert to fraction form
    8,386/12,582 = 12,582/x
  3. Step 3: Cross multiply
    8,386x = 12,582 × 12,582
  4. Step 4: Simplify right side
    8,386x = 158,306,724
  5. Step 5: Solve for x
    x = 158,306,724/8,386
  6. Step 6: Final answer
    x = 18,877.50

Related Problems

Find third proportional to 4,193 and 6,291
Half scale
Find third proportional to 16,772 and 25,164
Double scale
Find third proportional to 8,388 and 12,585
Similar ratio
Find third proportional to 12,579 and 18,873
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.