Home / 156,947-221,114

Finding the Third Proportional to 156,947 and 221,114

Calculator

Solution

The third proportional to 156,947 and 221,114 is: 311,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 221,114 = 221,114 : x
  2. Step 2: Convert to fraction form
    156,947/221,114 = 221,114/x
  3. Step 3: Cross multiply
    156,947x = 221,114 × 221,114
  4. Step 4: Simplify right side
    156,947x = 48,891,400,996
  5. Step 5: Solve for x
    x = 48,891,400,996/156,947
  6. Step 6: Final answer
    x = 311,515.36

Related Problems

Find third proportional to 78,473.50 and 110,557
Half scale
Find third proportional to 313,894 and 442,228
Double scale
Find third proportional to 156,949 and 221,117
Similar ratio
Find third proportional to 235,420.50 and 331,671
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.