Home / 177,219-269,524

Finding the Third Proportional to 177,219 and 269,524

Calculator

Solution

The third proportional to 177,219 and 269,524 is: 409,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,219 : 269,524 = 269,524 : x
  2. Step 2: Convert to fraction form
    177,219/269,524 = 269,524/x
  3. Step 3: Cross multiply
    177,219x = 269,524 × 269,524
  4. Step 4: Simplify right side
    177,219x = 72,643,186,576
  5. Step 5: Solve for x
    x = 72,643,186,576/177,219
  6. Step 6: Final answer
    x = 409,906.31

Related Problems

Find third proportional to 88,609.50 and 134,762
Half scale
Find third proportional to 354,438 and 539,048
Double scale
Find third proportional to 177,221 and 269,527
Similar ratio
Find third proportional to 265,828.50 and 404,286
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.