Home / 82,170-177,435

Finding the Third Proportional to 82,170 and 177,435

Calculator

Solution

The third proportional to 82,170 and 177,435 is: 383,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170 : 177,435 = 177,435 : x
  2. Step 2: Convert to fraction form
    82,170/177,435 = 177,435/x
  3. Step 3: Cross multiply
    82,170x = 177,435 × 177,435
  4. Step 4: Simplify right side
    82,170x = 31,483,179,225
  5. Step 5: Solve for x
    x = 31,483,179,225/82,170
  6. Step 6: Final answer
    x = 383,146.88

Related Problems

Find third proportional to 41,085 and 88,717.50
Half scale
Find third proportional to 164,340 and 354,870
Double scale
Find third proportional to 82,172 and 177,439
Similar ratio
Find third proportional to 123,255 and 266,152.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.