Home / 120,705-177,358

Finding the Third Proportional to 120,705 and 177,358

Calculator

Solution

The third proportional to 120,705 and 177,358 is: 260,601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,705 : 177,358 = 177,358 : x
  2. Step 2: Convert to fraction form
    120,705/177,358 = 177,358/x
  3. Step 3: Cross multiply
    120,705x = 177,358 × 177,358
  4. Step 4: Simplify right side
    120,705x = 31,455,860,164
  5. Step 5: Solve for x
    x = 31,455,860,164/120,705
  6. Step 6: Final answer
    x = 260,601.14

Related Problems

Find third proportional to 60,352.50 and 88,679
Half scale
Find third proportional to 241,410 and 354,716
Double scale
Find third proportional to 120,707 and 177,361
Similar ratio
Find third proportional to 181,057.50 and 266,037
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.