Home / 120,183-278,211

Finding the Third Proportional to 120,183 and 278,211

Calculator

Solution

The third proportional to 120,183 and 278,211 is: 644,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,183 : 278,211 = 278,211 : x
  2. Step 2: Convert to fraction form
    120,183/278,211 = 278,211/x
  3. Step 3: Cross multiply
    120,183x = 278,211 × 278,211
  4. Step 4: Simplify right side
    120,183x = 77,401,360,521
  5. Step 5: Solve for x
    x = 77,401,360,521/120,183
  6. Step 6: Final answer
    x = 644,029.19

Related Problems

Find third proportional to 60,091.50 and 139,105.50
Half scale
Find third proportional to 240,366 and 556,422
Double scale
Find third proportional to 120,185 and 278,216
Similar ratio
Find third proportional to 180,274.50 and 417,316.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.