Home / 82,084-176,724

Finding the Third Proportional to 82,084 and 176,724

Calculator

Solution

The third proportional to 82,084 and 176,724 is: 380,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,084 : 176,724 = 176,724 : x
  2. Step 2: Convert to fraction form
    82,084/176,724 = 176,724/x
  3. Step 3: Cross multiply
    82,084x = 176,724 × 176,724
  4. Step 4: Simplify right side
    82,084x = 31,231,372,176
  5. Step 5: Solve for x
    x = 31,231,372,176/82,084
  6. Step 6: Final answer
    x = 380,480.63

Related Problems

Find third proportional to 41,042 and 88,362
Half scale
Find third proportional to 164,168 and 353,448
Double scale
Find third proportional to 82,086 and 176,728
Similar ratio
Find third proportional to 123,126 and 265,086
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.