Home / 36,818-81,964

Finding the Third Proportional to 36,818 and 81,964

Calculator

Solution

The third proportional to 36,818 and 81,964 is: 182,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,818 : 81,964 = 81,964 : x
  2. Step 2: Convert to fraction form
    36,818/81,964 = 81,964/x
  3. Step 3: Cross multiply
    36,818x = 81,964 × 81,964
  4. Step 4: Simplify right side
    36,818x = 6,718,097,296
  5. Step 5: Solve for x
    x = 6,718,097,296/36,818
  6. Step 6: Final answer
    x = 182,467.74

Related Problems

Find third proportional to 18,409 and 40,982
Half scale
Find third proportional to 73,636 and 163,928
Double scale
Find third proportional to 36,820 and 81,968
Similar ratio
Find third proportional to 55,227 and 122,946
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.