Home / 120,784-177,624

Finding the Third Proportional to 120,784 and 177,624

Calculator

Solution

The third proportional to 120,784 and 177,624 is: 261,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784 : 177,624 = 177,624 : x
  2. Step 2: Convert to fraction form
    120,784/177,624 = 177,624/x
  3. Step 3: Cross multiply
    120,784x = 177,624 × 177,624
  4. Step 4: Simplify right side
    120,784x = 31,550,285,376
  5. Step 5: Solve for x
    x = 31,550,285,376/120,784
  6. Step 6: Final answer
    x = 261,212.46

Related Problems

Find third proportional to 60,392 and 88,812
Half scale
Find third proportional to 241,568 and 355,248
Double scale
Find third proportional to 120,786 and 177,627
Similar ratio
Find third proportional to 181,176 and 266,436
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.