Home / 177,162-269,023

Finding the Third Proportional to 177,162 and 269,023

Calculator

Solution

The third proportional to 177,162 and 269,023 is: 408,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,162 : 269,023 = 269,023 : x
  2. Step 2: Convert to fraction form
    177,162/269,023 = 269,023/x
  3. Step 3: Cross multiply
    177,162x = 269,023 × 269,023
  4. Step 4: Simplify right side
    177,162x = 72,373,374,529
  5. Step 5: Solve for x
    x = 72,373,374,529/177,162
  6. Step 6: Final answer
    x = 408,515.23

Related Problems

Find third proportional to 88,581 and 134,511.50
Half scale
Find third proportional to 354,324 and 538,046
Double scale
Find third proportional to 177,164 and 269,026
Similar ratio
Find third proportional to 265,743 and 403,534.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.