Home / 120,720-177,576

Finding the Third Proportional to 120,720 and 177,576

Calculator

Solution

The third proportional to 120,720 and 177,576 is: 261,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,720 : 177,576 = 177,576 : x
  2. Step 2: Convert to fraction form
    120,720/177,576 = 177,576/x
  3. Step 3: Cross multiply
    120,720x = 177,576 × 177,576
  4. Step 4: Simplify right side
    120,720x = 31,533,235,776
  5. Step 5: Solve for x
    x = 31,533,235,776/120,720
  6. Step 6: Final answer
    x = 261,209.71

Related Problems

Find third proportional to 60,360 and 88,788
Half scale
Find third proportional to 241,440 and 355,152
Double scale
Find third proportional to 120,722 and 177,579
Similar ratio
Find third proportional to 181,080 and 266,364
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.