Home / 206,818-311,457

Finding the Third Proportional to 206,818 and 311,457

Calculator

Solution

The third proportional to 206,818 and 311,457 is: 469,037.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,818 : 311,457 = 311,457 : x
  2. Step 2: Convert to fraction form
    206,818/311,457 = 311,457/x
  3. Step 3: Cross multiply
    206,818x = 311,457 × 311,457
  4. Step 4: Simplify right side
    206,818x = 97,005,462,849
  5. Step 5: Solve for x
    x = 97,005,462,849/206,818
  6. Step 6: Final answer
    x = 469,037.82

Related Problems

Find third proportional to 103,409 and 155,728.50
Half scale
Find third proportional to 413,636 and 622,914
Double scale
Find third proportional to 206,820 and 311,460
Similar ratio
Find third proportional to 310,227 and 467,185.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.