Home / 32,213-69,961

Finding the Third Proportional to 32,213 and 69,961

Calculator

Solution

The third proportional to 32,213 and 69,961 is: 151,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213 : 69,961 = 69,961 : x
  2. Step 2: Convert to fraction form
    32,213/69,961 = 69,961/x
  3. Step 3: Cross multiply
    32,213x = 69,961 × 69,961
  4. Step 4: Simplify right side
    32,213x = 4,894,541,521
  5. Step 5: Solve for x
    x = 4,894,541,521/32,213
  6. Step 6: Final answer
    x = 151,943.05

Related Problems

Find third proportional to 16,106.50 and 34,980.50
Half scale
Find third proportional to 64,426 and 139,922
Double scale
Find third proportional to 32,215 and 69,965
Similar ratio
Find third proportional to 48,319.50 and 104,941.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.