Home / 120,170-278,186

Finding the Third Proportional to 120,170 and 278,186

Calculator

Solution

The third proportional to 120,170 and 278,186 is: 643,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,170 : 278,186 = 278,186 : x
  2. Step 2: Convert to fraction form
    120,170/278,186 = 278,186/x
  3. Step 3: Cross multiply
    120,170x = 278,186 × 278,186
  4. Step 4: Simplify right side
    120,170x = 77,387,450,596
  5. Step 5: Solve for x
    x = 77,387,450,596/120,170
  6. Step 6: Final answer
    x = 643,983.11

Related Problems

Find third proportional to 60,085 and 139,093
Half scale
Find third proportional to 240,340 and 556,372
Double scale
Find third proportional to 120,172 and 278,191
Similar ratio
Find third proportional to 180,255 and 417,279
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.