Home / 120,578-177,382

Finding the Third Proportional to 120,578 and 177,382

Calculator

Solution

The third proportional to 120,578 and 177,382 is: 260,946.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,578 : 177,382 = 177,382 : x
  2. Step 2: Convert to fraction form
    120,578/177,382 = 177,382/x
  3. Step 3: Cross multiply
    120,578x = 177,382 × 177,382
  4. Step 4: Simplify right side
    120,578x = 31,464,373,924
  5. Step 5: Solve for x
    x = 31,464,373,924/120,578
  6. Step 6: Final answer
    x = 260,946.23

Related Problems

Find third proportional to 60,289 and 88,691
Half scale
Find third proportional to 241,156 and 354,764
Double scale
Find third proportional to 120,580 and 177,385
Similar ratio
Find third proportional to 180,867 and 266,073
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.