Home / 102,012-220,964

Finding the Third Proportional to 102,012 and 220,964

Calculator

Solution

The third proportional to 102,012 and 220,964 is: 478,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012 : 220,964 = 220,964 : x
  2. Step 2: Convert to fraction form
    102,012/220,964 = 220,964/x
  3. Step 3: Cross multiply
    102,012x = 220,964 × 220,964
  4. Step 4: Simplify right side
    102,012x = 48,825,089,296
  5. Step 5: Solve for x
    x = 48,825,089,296/102,012
  6. Step 6: Final answer
    x = 478,621.04

Related Problems

Find third proportional to 51,006 and 110,482
Half scale
Find third proportional to 204,024 and 441,928
Double scale
Find third proportional to 102,014 and 220,968
Similar ratio
Find third proportional to 153,018 and 331,446
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.