Home / 157,251-209,505

Finding the Third Proportional to 157,251 and 209,505

Calculator

Solution

The third proportional to 157,251 and 209,505 is: 279,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,251 : 209,505 = 209,505 : x
  2. Step 2: Convert to fraction form
    157,251/209,505 = 209,505/x
  3. Step 3: Cross multiply
    157,251x = 209,505 × 209,505
  4. Step 4: Simplify right side
    157,251x = 43,892,345,025
  5. Step 5: Solve for x
    x = 43,892,345,025/157,251
  6. Step 6: Final answer
    x = 279,122.84

Related Problems

Find third proportional to 78,625.50 and 104,752.50
Half scale
Find third proportional to 314,502 and 419,010
Double scale
Find third proportional to 157,253 and 209,508
Similar ratio
Find third proportional to 235,876.50 and 314,257.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.