Home / 8,399-12,842

Finding the Third Proportional to 8,399 and 12,842

Calculator

Solution

The third proportional to 8,399 and 12,842 is: 19,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399 : 12,842 = 12,842 : x
  2. Step 2: Convert to fraction form
    8,399/12,842 = 12,842/x
  3. Step 3: Cross multiply
    8,399x = 12,842 × 12,842
  4. Step 4: Simplify right side
    8,399x = 164,916,964
  5. Step 5: Solve for x
    x = 164,916,964/8,399
  6. Step 6: Final answer
    x = 19,635.31

Related Problems

Find third proportional to 4,199.50 and 6,421
Half scale
Find third proportional to 16,798 and 25,684
Double scale
Find third proportional to 8,401 and 12,845
Similar ratio
Find third proportional to 12,598.50 and 19,263
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.